{"id":20293,"date":"2026-01-01T22:13:29","date_gmt":"2026-01-01T16:43:29","guid":{"rendered":"https:\/\/www.geographynotespdf.com\/?p=20293"},"modified":"2026-01-23T09:33:02","modified_gmt":"2026-01-23T04:03:02","slug":"range","status":"publish","type":"post","link":"https:\/\/geographynotespdf.com\/cms\/range\/","title":{"rendered":"15. Range (\u092a\u0930\u093e\u0938 \/ \u092a\u0930\u093f\u0938\u0930 \/ \u0935\u093f\u0938\u094d\u0924\u093e\u0930)"},"content":{"rendered":"<h2 style=\"text-align: center;\" data-start=\"52\" data-end=\"103\"><span style=\"color: #ff0000;\"><strong><span style=\"font-size: 24pt;\">Range<\/span><\/strong><\/span><\/h2>\n<h2 style=\"text-align: center;\" data-start=\"52\" data-end=\"103\"><span style=\"color: #0000ff;\"><strong><span style=\"font-size: 24pt;\"> (\u092a\u0930\u093e\u0938)<\/span><\/strong><\/span><\/h2>\n<hr \/>\n<hr \/>\n<p data-start=\"105\" data-end=\"319\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-20468 size-full\" src=\"https:\/\/www.geographynotespdf.com\/wp-content\/uploads\/2026\/01\/Range-300x200-1.png\" alt=\"Range\" width=\"300\" height=\"200\" \/><\/p>\n<p style=\"text-align: justify;\" data-start=\"105\" data-end=\"319\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>\u092a\u0930\u093f\u091a\u092f<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"105\" data-end=\"319\"><span style=\"color: #000000; font-size: 14pt;\">\u00a0 \u00a0 \u00a0 \u00a0\u092a\u0930\u093e\u0938 (Range) \u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u093e \u0938\u092c\u0938\u0947 \u0938\u0930\u0932 \u0914\u0930 \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u092e\u093e\u092a\u0915 \u0939\u0948\u0964 \u092f\u0939 \u0915\u093f\u0938\u0940 \u0906\u0901\u0915\u0921\u093c\u093e-\u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0947 \u092e\u093e\u0928 (L) \u0914\u0930 \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0947 \u092e\u093e\u0928 (S) \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \u092f\u0939 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948 \u0915\u093f \u0906\u0901\u0915\u0921\u093c\u0947 \u0915\u093f\u0924\u0928\u0940 \u0938\u0940\u092e\u093e \u0924\u0915 \u092b\u0948\u0932\u0947 \u0939\u0941\u090f \u0939\u0948\u0902\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"105\" data-end=\"319\"><span style=\"color: #000000; font-size: 14pt;\">\u00a0 \u00a0 \u00a0\u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u0938\u092c\u0938\u0947 \u092c\u095c\u0947 \u092e\u0942\u0932\u094d\u092f \u0914\u0930 \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0947 \u092e\u0942\u0932\u094d\u092f \u0915\u0947 \u0905\u0902\u0924\u0930 \u0915\u094b \u092a\u0930\u093f\u0938\u0930 \u092f\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u0939\u0924\u0947 \u0939\u0948\u0964<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"326\" data-end=\"356\"><span style=\"color: #000080; font-size: 14pt;\">\u092a\u0930\u093f\u092d\u093e\u0937\u093e (Definition)<\/span><\/h3>\n<p style=\"text-align: justify;\" data-start=\"357\" data-end=\"440\"><span style=\"color: #000000; font-size: 14pt;\">\u00a0 \u00a0 \u092a\u0930\u093e\u0938 \u0935\u0939 \u0905\u0902\u0924\u0930 \u0939\u0948 \u091c\u094b \u0915\u093f\u0938\u0940 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0947 \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0914\u0930 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0915\u0947 \u092c\u0940\u091a \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"447\" data-end=\"472\"><span style=\"color: #000080; font-size: 14pt;\">\u0938\u0942\u0924\u094d\u0930 (Formula)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #ff00ff;\">Range (R) = L\u2212S<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"506\" data-end=\"513\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #000000;\">\u091c\u0939\u093e\u0901,<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"516\" data-end=\"555\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #000000;\"><span aria-hidden=\"true\">L<\/span> = \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u093e \u092e\u093e\u0928 (Largest Value \/ Observation)<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"558\" data-end=\"596\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #000000;\"><span aria-hidden=\"true\">S<\/span> = \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u093e \u092e\u093e\u0928 (Smallest Value \/ Observation)<\/span><\/strong><\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><strong><span style=\"color: #008000; font-size: 14pt;\">\u092a\u0930\u093e\u0938 \u0915\u093e \u0917\u0941\u0923\u093e\u0902\u0915 (Coefficient of Range)<\/span><\/strong><\/h3>\n<p style=\"text-align: justify;\" data-start=\"651\" data-end=\"718\"><span style=\"color: #000000; font-size: 14pt;\">\u00a0 \u00a0 \u00a0\u092a\u0930\u093e\u0938 \u0915\u0947 \u0924\u0941\u0932\u0928\u093e\u0924\u094d\u092e\u0915 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u093e\u0938 \u0915\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>Coefficient of Range = (L \u2212 S) \/ (L + S)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt; color: #000000;\"><strong>&#x270d;&#xfe0f; \u0935\u093f\u0936\u0947\u0937\u0924\u093e:-<\/strong> \u0907\u0938\u0915\u093e \u092e\u093e\u0928 0 \u0914\u0930 1 \u0915\u0947 \u092c\u0940\u091a \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"830\" data-end=\"856\"><span style=\"color: #000000; font-size: 14pt;\">\u0909\u0926\u093e\u0939\u0930\u0923 (Example)<\/span><\/h3>\n<p style=\"text-align: justify;\" data-start=\"857\" data-end=\"897\"><span style=\"color: #000000; font-size: 14pt;\">\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0906\u0901\u0915\u0921\u093c\u0947 \u0939\u0948\u0902: 5, 8, 12, 20, 25<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"900\" data-end=\"912\"><span style=\"color: #000000; font-size: 14pt;\">L = 25<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"915\" data-end=\"924\"><span style=\"color: #000000; font-size: 14pt;\">S = 5<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Range<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-size: 14pt;\">R = 25\u22125 = 20<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-size: 14pt;\">(25\u22125) \/ (25+5) = 20\/30 =0.67<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"1038\" data-end=\"1068\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #0000ff;\">\u092a\u0930\u093e\u0938 \u0915\u0947 \u0932\u093e\u092d (Merits)<\/span><\/strong><\/span><\/h3>\n<p style=\"text-align: justify;\" data-start=\"1072\" data-end=\"1092\"><span style=\"color: #000000; font-size: 14pt;\"><span style=\"color: #000000;\"><strong><span style=\"color: #0000ff;\">&#x270d;&#xfe0f; <\/span><\/strong><\/span>Dispersion \u0915\u0947 \u0938\u092d\u0940 methods \u092e\u0947\u0902 \u092f\u0939 \u0938\u092c\u0938\u0947 \u0938\u0930\u0932 \u0935 \u0906\u0938\u093e\u0928 \u0939\u0948\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1096\" data-end=\"1132\"><span style=\"color: #000000; font-size: 14pt;\"><span style=\"color: #000000;\"><strong><span style=\"color: #0000ff;\">&#x270d;&#xfe0f; <\/span><\/strong><\/span>\u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1136\" data-end=\"1178\"><span style=\"color: #000000; font-size: 14pt;\"><span style=\"color: #000000;\"><strong><span style=\"color: #0000ff;\">&#x270d;&#xfe0f; <\/span><\/strong><\/span>\u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u093e \u0924\u094d\u0935\u0930\u093f\u0924 \u0905\u0928\u0941\u092e\u093e\u0928 \u0926\u0947\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"1185\" data-end=\"1220\"><span style=\"color: #0000ff; font-size: 14pt;\"><strong>\u092a\u0930\u093e\u0938 \u0915\u0940 \u0938\u0940\u092e\u093e\u090f\u0901 (Demerits)<\/strong><\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-size: 14pt;\">&#x270d;&#xfe0f; Range is not based on each and every observation of the series.<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1224\" data-end=\"1263\"><span style=\"color: #000000; font-size: 14pt;\">&#x270d;&#xfe0f; \u0915\u0947\u0935\u0932 \u0926\u094b \u091a\u0930\u092e \u092e\u093e\u0928\u094b\u0902 (L \u0914\u0930 S) \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1267\" data-end=\"1308\"><span style=\"color: #000000; font-size: 14pt;\">&#x270d;&#xfe0f; \u091a\u0930\u092e \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0938\u0947 \u092c\u0939\u0941\u0924 \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1312\" data-end=\"1362\"><span style=\"color: #000000; font-size: 14pt;\">&#x270d;&#xfe0f; \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0906\u0901\u0915\u0921\u093c\u093e-\u0938\u092e\u0942\u0939 \u0915\u093e \u0938\u0939\u0940 \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e\u0964<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1312\" data-end=\"1362\"><span style=\"color: #000000; font-size: 14pt;\">&#x270d;&#xfe0f; We can not calculate Range for open end classification.<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"1369\" data-end=\"1391\"><span style=\"color: #0000ff; font-size: 14pt;\"><strong>\u0909\u092a\u092f\u094b\u0917 (Uses)<\/strong><\/span><\/h3>\n<p style=\"text-align: justify;\" data-start=\"1394\" data-end=\"1425\"><span style=\"font-size: 14pt;\"><strong>&#x270d;&#xfe0f; <\/strong>\u092e\u094c\u0938\u092e \u0935\u093f\u091c\u094d\u091e\u093e\u0928 (\u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u093e \u0905\u0902\u0924\u0930)<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1428\" data-end=\"1462\"><span style=\"font-size: 14pt;\"><strong>&#x270d;&#xfe0f; <\/strong>\u0936\u0947\u092f\u0930 \u092c\u093e\u091c\u093e\u0930 (\u0909\u091a\u094d\u091a\u0924\u092e\u2013\u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092d\u093e\u0935)<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1465\" data-end=\"1506\"><span style=\"font-size: 14pt;\"><strong>&#x270d;&#xfe0f; <\/strong>\u0916\u0947\u0932, \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1465\" data-end=\"1506\"><span style=\"font-size: 14pt;\"><span style=\"color: #000000;\"><span style=\"color: #000000;\"><span style=\"color: #0000ff;\">&#x270d;&#xfe0f;<\/span><\/span><\/span> \u0909\u0926\u094d\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 quality \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u0923 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917\u0940<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"1465\" data-end=\"1506\"><span style=\"font-size: 14pt;\">&#x270d;&#xfe0f;Everyday life (\u0938\u092c\u094d\u091c\u0940 \u092f\u093e \u0915\u094b\u0908 \u0938\u093e\u092e\u093e\u0928 \u0915\u093e range)<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"1513\" data-end=\"1544\"><span style=\"color: #993300; font-size: 14pt;\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (Conclusion)<\/span><\/h3>\n<p style=\"text-align: justify;\" data-start=\"1545\" data-end=\"1722\"><span style=\"color: #000000; font-size: 14pt;\">\u00a0 \u00a0 \u092a\u0930\u093e\u0938 \u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u093e \u0938\u092c\u0938\u0947 \u0938\u0930\u0932 \u092e\u093e\u092a\u0915 \u0939\u0948, \u092a\u0930\u0928\u094d\u0924\u0941 \u0907\u0938\u0915\u0940 \u0938\u0940\u092e\u093e\u0913\u0902 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0917\u0939\u0928 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0905\u0928\u094d\u092f \u092e\u093e\u092a\u0915\u094b\u0902 (\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928, \u092e\u093e\u0927\u094d\u092f \u0935\u093f\u091a\u0932\u0928, \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928) \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0905\u0927\u093f\u0915 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<hr \/>\n<hr \/>\n<p style=\"text-align: justify;\" data-start=\"830\" data-end=\"856\"><span style=\"font-size: 14pt;\"><strong>NOTE: Type of series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #008000; font-size: 14pt;\"><strong>(i) Indivisual Series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #008000; font-size: 14pt;\"><strong>(ii) Discrete Series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #008000; font-size: 14pt;\"><strong>(iii) Continuous Series\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u21d3<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff00ff; font-size: 14pt;\"><strong>(a) Exclusive Series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff00ff; font-size: 14pt;\"><strong>(b) Inclusive Series<\/strong><\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"830\" data-end=\"856\"><span style=\"color: #000000; font-size: 14pt;\">\u0909\u0926\u093e\u0939\u0930\u0923 (Example)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #008000; font-size: 14pt;\"><strong>(i) Indivisual Series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #ff0000;\">1. 13, 20, 7, 15, 29, 35 <span style=\"color: #ff0000;\">\u0907\u0938 \u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/span><\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">L = 35<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>Range =<\/strong> L &#8211; S = 35 &#8211; 7 = 28<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (35 &#8211; 7)\/(35 + 7) = 28\/42 = 0.67<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #ff0000;\">2.\u00a0 50, 69, 92, 85, 55, 20, 30 \u0907\u0938<span style=\"color: #ff0000;\">\u00a0\u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/span><\/span><\/strong><\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">L = 92<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>Range =<\/strong> L &#8211; S =92-20 = 72<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (92-20)\/(92+20) = 72\/112 = 0.64<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #008000; font-size: 14pt;\"><strong>(ii) Discrete Series (\u0916\u0902\u0921\u093f\u0924 \u0936\u094d\u0930\u0947\u0923\u0940)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>3. \u0926\u093f\u090f \u0917\u092f\u0947 \u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">x<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">f<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">3<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">10<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">7<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">15<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">20<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">12<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">25<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">9<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">Note : \u0910\u0938\u0947 series \u092e\u0947\u0902 Frequency \u0915\u094b ignore \u0915\u0930\u0928\u093e \u0939\u0948<span style=\"color: #000000;\">\u0964<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">L = 25<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>Range =<\/strong> L &#8211; S = 25 &#8211; 5 = 20<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (25-20)\/(25+5) = 20\/30 = 0.67<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><span style=\"color: #ff0000;\"><strong>4.<\/strong> <strong>\u0926\u093f\u090f \u0917\u092f\u0947 \u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/strong><\/span><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">x<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">f<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">133<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">9<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">180<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">2<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">80<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">4<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">95<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">40<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center;\"><span style=\"font-size: 14pt;\">132<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center;\"><span style=\"font-size: 14pt;\">10<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">L = 180<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 40<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>Range =<\/strong> L &#8211; S = 180 &#8211; 40 = 140<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (180-40)\/(180+40) = 140\/220 = 0.63<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><span style=\"color: #008000;\"><strong>(iii) Continuous Series : <\/strong><\/span><span style=\"color: #ff00ff;\"><strong>(a) Exclusive Series<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>5. \u0926\u093f\u090f \u0917\u092f\u0947 \u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">x<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">f<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">20-25<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">2<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">25-30<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">30-35<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">9<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">35-40<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">4<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">40-45<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">7<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">Note : \u0910\u0938\u0947 Series \u092e\u0947\u0902 \u092d\u0940 Frequency \u0915\u094b ignore \u0915\u0930\u0928\u093e \u0939\u0948<span style=\"color: #000000;\">\u0964<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">L = 45<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>Range =<\/strong> L &#8211; S = 45 &#8211; 20 = 25<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\">Coefficient of Range = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (45-20)\/(45+20) = 25\/65 = 0.38<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #ff00ff; font-size: 14pt;\"><strong>(b) Inclusive Series<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><span style=\"color: #ff0000;\"><strong>5.<\/strong> <strong>\u0926\u093f\u090f \u0917\u092f\u0947 \u0938\u0940\u0930\u0940\u091c \u0915\u093e Range \u0914\u0930 Coefficient of Range \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/strong><\/span><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">x<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">f<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">20-<strong><span style=\"color: #993366;\">24<\/span><\/strong><\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">2<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\"><span style=\"color: #993366;\"><strong>25<\/strong><\/span>-29<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">30-34<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">9<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">35-39<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">4<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">40-44<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">7<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0939\u0932:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u00a0 \u00a0 \u00a0 \u00a0\u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947 \u092f\u0939\u093e\u0901 Inclusive Series \u0915\u094b Exclusive Series \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0947 \u0939\u0948 \u0914\u0930 \u092f\u0939\u093e\u0901 \u092d\u0940 Frequency \u0915\u094b ignore \u0915\u0930\u0928\u093e \u0939\u0948<span style=\"color: #000000;\">\u0964<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0907\u0938\u0915\u0947 \u0932\u093f\u090f (24+25)\/2 = 49\/2 = 24.5 \u0907\u0938\u0940 \u0924\u0930\u0939 \u0938\u092d\u0940 \u0928\u093f\u0915\u093e\u0932\u0947\u0902<span style=\"color: #000000;\">\u0964<\/span><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">x<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">f<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">19.5-24.5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">2<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">24.5-29.5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">5<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">29.5-34.5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">9<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">34.5-39.5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">4<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">39.5-44.5<\/span><\/td>\n<td style=\"width: 50%; border-style: solid; border-color: #000000; text-align: center; height: 24px;\"><span style=\"font-size: 14pt;\">7<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0905\u092c, L = 44.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">S = 19.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.youtube.com\/@DrAmarKumar91\" target=\"_blank\" rel=\"noopener\">Range<\/a> <\/span>=<\/strong> L &#8211; S = 44.5-19.5 = 25<\/span><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"603\" data-end=\"650\"><span style=\"color: #000000; font-size: 14pt;\"><a style=\"color: #000000;\" href=\"https:\/\/www.geographynotespdf.com\/\">Coefficient of Range<\/a> = (L-S)\/(L+S)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">= (44.5-19.5)\/(44.5+19.5) =25\/63 = 0.40<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Range (\u092a\u0930\u093e\u0938) \u092a\u0930\u093f\u091a\u092f \u00a0 \u00a0 \u00a0 \u00a0\u092a\u0930\u093e\u0938 (Range) \u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u093e \u0938\u092c\u0938\u0947 \u0938\u0930\u0932 \u0914\u0930 \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u092e\u093e\u092a\u0915 \u0939\u0948\u0964 \u092f\u0939 \u0915\u093f\u0938\u0940 \u0906\u0901\u0915\u0921\u093c\u093e-\u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0947 \u092e\u093e\u0928 (L) \u0914\u0930 \u0938\u092c\u0938\u0947 \u091b\u094b\u091f\u0947 \u092e\u093e\u0928 (S) \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \u092f\u0939 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948 \u0915\u093f \u0906\u0901\u0915\u0921\u093c\u0947 \u0915\u093f\u0924\u0928\u0940 \u0938\u0940\u092e\u093e \u0924\u0915 \u092b\u0948\u0932\u0947 \u0939\u0941\u090f \u0939\u0948\u0902\u0964 \u00a0 \u00a0 \u00a0\u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[56,162],"tags":[],"class_list":["post-20293","post","type-post","status-publish","format-standard","hentry","category-ba-semester-paper-iv","category-research-methodology"],"acf":{"test_duration":60,"q1_question":"","q1_option_a":"","q1_option_b":"","q1_option_c":"","q1_option_d":"","q1_correct":"","q1_explanation":"","q2_question":"","q2_option_a":"","q2_option_b":"","q2_option_c":"","q2_option_d":"","q2_correct":"","q2_explanation":"","q3_question":"","q3_option_a":"","q3_option_b":"","q3_option_c":"","q3_option_d":"","q3_correct":"","q3_explanation":"","q4_question":"","q4_option_a":"","q4_option_b":"","q4_option_c":"","q4_option_d":"","q4_correct":"","q4_explanation":"","q5_question":"","q5_option_a":"","q5_option_b":"","q5_option_c":"","q5_option_d":"","q5_correct":"","q5_explanation":"","q6_question":"","q6_option_a":"","q6_option_b":"","q6_option_c":"","q6_option_d":"","q6_correct":"","q6_explanation":"","q7_question":"","q7_option_a":"","q7_option_b":"","q7_option_c":"","q7_option_d":"","q7_correct":"","q7_explanation":"","q8_question":"","q8_option_a":"","q8_option_b":"","q8_option_c":"","q8_option_d":"","q8_correct":"","q8_explanation":"","q9_question":"","q9_option_a":"","q9_option_b":"","q9_option_c":"","q9_option_d":"","q9_correct":"","q9_explanation":"","q10_question":"","q10_option_a":"","q10_option_b":"","q10_option_c":"","q10_option_d":"","q10_correct":"","q10_explanation":"","q11_question":"","q11_option_a":"","q11_option_b":"","q11_option_c":"","q11_option_d":"","q11_correct":"","q11_explanation":"","q12_question":"","q12_option_a":"","q12_option_b":"","q12_option_c":"","q12_option_d":"","q12_correct":"","q12_explanation":"","q13_question":"","q13_option_a":"","q13_option_b":"","q13_option_c":"","q13_option_d":"","q13_correct":"","q13_explanation":"","q14_question":"","q14_option_a":"","q14_option_b":"","q14_option_c":"","q14_option_d":"","q14_correct":"","q14_explanation":"","q15_question":"","q15_option_a":"","q15_option_b":"","q15_option_c":"","q15_option_d":"","q15_correct":"","q15_explanation":"","q16_question":"","q16_option_a":"","q16_option_b":"","q16_option_c":"","q16_option_d":"","q16_correct":"","q16_explanation":"","q17_question":"","q17_option_a":"","q17_option_b":"","q17_option_c":"","q17_option_d":"","q17_correct":"","q17_explanation":"","q18_question":"","q18_option_a":"","q18_option_b":"","q18_option_c":"","q18_option_d":"","q18_correct":"","q18_explanation":"","q19_question":"","q19_option_a":"","q19_option_b":"","q19_option_c":"","q19_option_d":"","q19_correct":"","q19_explanation":"","q20_question":"","q20_option_a":"","q20_option_b":"","q20_option_c":"","q20_option_d":"","q20_correct":"","q20_explanation":"","q21_question":"","q21_option_a":"","q21_option_b":"","q21_option_c":"","q21_option_d":"","q21_correct":"","q21_explanation":"","q22_question":"","q22_option_a":"","q22_option_b":"","q22_option_c":"","q22_option_d":"","q22_correct":"","q22_explanation":"","q23_question":"","q23_option_a":"","q23_option_b":"","q23_option_c":"","q23_option_d":"","q23_correct":"","q23_explanation":"","q24_question":"","q24_option_a":"","q24_option_b":"","q24_option_c":"","q24_option_d":"","q24_correct":"","q24_explanation":"","q25_question":"","q25_option_a":"","q25_option_b":"","q25_option_c":"","q25_option_d":"","q25_correct":"","q25_explanation":"","q26_question":"","q26_option_a":"","q26_option_b":"","q26_option_c":"","q26_option_d":"","q26_correct":"","q26_explanation":"","q27_question":"","q27_option_a":"","q27_option_b":"","q27_option_c":"","q27_option_d":"","q27_correct":"","q27_explanation":"","q28_question":"","q28_option_a":"","q28_option_b":"","q28_option_c":"","q28_option_d":"","q28_correct":"","q28_explanation":"","q29_question":"","q29_option_a":"","q29_option_b":"","q29_option_c":"","q29_option_d":"","q29_correct":"","q29_explanation":"","q30_question":"","q30_option_a":"","q30_option_b":"","q30_option_c":"","q30_option_d":"","q30_correct":"","q30_explanation":"","q31_question":"","q31_option_a":"","q31_option_b":"","q31_option_c":"","q31_option_d":"","q31_correct":"","q31_explanation":"","q32_question":"","q32_option_a":"","q32_option_b":"","q32_option_c":"","q32_option_d":"","q32_correct":"","q32_explanation":"","q33_question":"","q33_option_a":"","q33_option_b":"","q33_option_c":"","q33_option_d":"","q33_correct":"","q33_explanation":"","q34_question":"","q34_option_a":"","q34_option_b":"","q34_option_c":"","q34_option_d":"","q34_correct":"","q34_explanation":"","q35_question":"","q35_option_a":"","q35_option_b":"","q35_option_c":"","q35_option_d":"","q35_correct":"","q35_explanation":"","q36_question":"","q36_option_a":"","q36_option_b":"","q36_option_c":"","q36_option_d":"","q36_correct":"","q36_explanation":"","q37_question":"","q37_option_a":"","q37_option_b":"","q37_option_c":"","q37_option_d":"","q37_correct":"","q37_explanation":"","q38_question":"","q38_option_a":"","q38_option_b":"","q38_option_c":"","q38_option_d":"","q38_correct":"","q38_explanation":"","q39_question":"","q39_option_a":"","q39_option_b":"","q39_option_c":"","q39_option_d":"","q39_correct":"","q39_explanation":"","q40_question":"","q40_option_a":"","q40_option_b":"","q40_option_c":"","q40_option_d":"","q40_correct":"","q40_explanation":"","q41_question":"","q41_option_a":"","q41_option_b":"","q41_option_c":"","q41_option_d":"","q41_correct":"","q41_explanation":"","q42_question":"","q42_option_a":"","q42_option_b":"","q42_option_c":"","q42_option_d":"","q42_correct":"","q42_explanation":"","q43_question":"","q43_option_a":"","q43_option_b":"","q43_option_c":"","q43_option_d":"","q43_correct":"","q43_explanation":"","q44_question":"","q44_option_a":"","q44_option_b":"","q44_option_c":"","q44_option_d":"","q44_correct":"","q44_explanation":"","q45_question":"","q45_option_a":"","q45_option_b":"","q45_option_c":"","q45_option_d":"","q45_correct":"","q45_explanation":"","q46_question":"","q46_option_a":"","q46_option_b":"","q46_option_c":"","q46_option_d":"","q46_correct":"","q46_explanation":"","q47_question":"","q47_option_a":"","q47_option_b":"","q47_option_c":"","q47_option_d":"","q47_correct":"","q47_explanation":"","q48_question":"","q48_option_a":"","q48_option_b":"","q48_option_c":"","q48_option_d":"","q48_correct":"","q48_explanation":"","q49_question":"","q49_option_a":"","q49_option_b":"","q49_option_c":"","q49_option_d":"","q49_correct":"","q49_explanation":"","q50_question":"","q50_option_a":"","q50_option_b":"","q50_option_c":"","q50_option_d":"","q50_correct":"","q50_explanation":"","q51_question":"","q51_option_a":"","q51_option_b":"","q51_option_c":"","q51_option_d":"","q51_correct":"","q51_explanation":"","q52_question":"","q52_option_a":"","q52_option_b":"","q52_option_c":"","q52_option_d":"","q52_correct":"","q52_explanation":"","q53_question":"","q53_option_a":"","q53_option_b":"","q53_option_c":"","q53_option_d":"","q53_correct":"","q53_explanation":"","q54_question":"","q54_option_a":"","q54_option_b":"","q54_option_c":"","q54_option_d":"","q54_correct":"","q54_explanation":"","q55_question":"","q55_option_a":"","q55_option_b":"","q55_option_c":"","q55_option_d":"","q55_correct":"","q55_explanation":"","q56_question":"","q56_option_a":"","q56_option_b":"","q56_option_c":"","q56_option_d":"","q56_correct":"","q56_explanation":"","q57_question":"","q57_option_a":"","q57_option_b":"","q57_option_c":"","q57_option_d":"","q57_correct":"","q57_explanation":"","q58_question":"","q58_option_a":"","q58_option_b":"","q58_option_c":"","q58_option_d":"","q58_correct":"","q58_explanation":"","q59_question":"","q59_option_a":"","q59_option_b":"","q59_option_c":"","q59_option_d":"","q59_correct":"","q59_explanation":"","q60_question":"","q60_option_a":"","q60_option_b":"","q60_option_c":"","q60_option_d":"","q60_correct":"","q60_explanation":"","q61_question":"","q61_option_a":"","q61_option_b":"","q61_option_c":"","q61_option_d":"","q61_correct":"","q61_explanation":"","q62_question":"","q62_option_a":"","q62_option_b":"","q62_option_c":"","q62_option_d":"","q62_correct":"","q62_explanation":"","q63_question":"","q63_option_a":"","q63_option_b":"","q63_option_c":"","q63_option_d":"","q63_correct":"","q63_explanation":"","q64_question":"","q64_option_a":"","q64_option_b":"","q64_option_c":"","q64_option_d":"","q64_correct":"","q64_explanation":"","q65_question":"","q65_option_a":"","q65_option_b":"","q65_option_c":"","q65_option_d":"","q65_correct":"","q65_explanation":"","q66_question":"","q66_option_a":"","q66_option_b":"","q66_option_c":"","q66_option_d":"","q66_correct":"","q66_explanation":"","q67_question":"","q67_option_a":"","q67_option_b":"","q67_option_c":"","q67_option_d":"","q67_correct":"","q67_explanation":"","q68_question":"","q68_option_a":"","q68_option_b":"","q68_option_c":"","q68_option_d":"","q68_correct":"","q68_explanation":"","q69_question":"","q69_option_a":"","q69_option_b":"","q69_option_c":"","q69_option_d":"","q69_correct":"","q69_explanation":"","q70_question":"","q70_option_a":"","q70_option_b":"","q70_option_c":"","q70_option_d":"","q70_correct":"","q70_explanation":"","q71_question":"","q71_option_a":"","q71_option_b":"","q71_option_c":"","q71_option_d":"","q71_correct":"","q71_explanation":"","q72_question":"","q72_option_a":"","q72_option_b":"","q72_option_c":"","q72_option_d":"","q72_correct":"","q72_explanation":"","q73_question":"","q73_option_a":"","q73_option_b":"","q73_option_c":"","q73_option_d":"","q73_correct":"","q73_explanation":"","q74_question":"","q74_option_a":"","q74_option_b":"","q74_option_c":"","q74_option_d":"","q74_correct":"","q74_explanation":"","q75_question":"","q75_option_a":"","q75_option_b":"","q75_option_c":"","q75_option_d":"","q75_correct":"","q75_explanation":"","q76_question":"","q76_option_a":"","q76_option_b":"","q76_option_c":"","q76_option_d":"","q76_correct":"","q76_explanation":"","q77_question":"","q77_option_a":"","q77_option_b":"","q77_option_c":"","q77_option_d":"","q77_correct":"","q77_explanation":"","q78_question":"","q78_option_a":"","q78_option_b":"","q78_option_c":"","q78_option_d":"","q78_correct":"","q78_explanation":"","q79_question":"","q79_option_a":"","q79_option_b":"","q79_option_c":"","q79_option_d":"","q79_correct":"","q79_explanation":"","q80_question":"","q80_option_a":"","q80_option_b":"","q80_option_c":"","q80_option_d":"","q80_correct":"","q80_explanation":"","q81_question":"","q81_option_a":"","q81_option_b":"","q81_option_c":"","q81_option_d":"","q81_correct":"","q81_explanation":"","q82_question":"","q82_option_a":"","q82_option_b":"","q82_option_c":"","q82_option_d":"","q82_correct":"","q82_explanation":"","q83_question":"","q83_option_a":"","q83_option_b":"","q83_option_c":"","q83_option_d":"","q83_correct":"","q83_explanation":"","q84_question":"","q84_option_a":"","q84_option_b":"","q84_option_c":"","q84_option_d":"","q84_correct":"","q84_explanation":"","q85_question":"","q85_option_a":"","q85_option_b":"","q85_option_c":"","q85_option_d":"","q85_correct":"","q85_explanation":"","q86_question":"","q86_option_a":"","q86_option_b":"","q86_option_c":"","q86_option_d":"","q86_correct":"","q86_explanation":"","q87_question":"","q87_option_a":"","q87_option_b":"","q87_option_c":"","q87_option_d":"","q87_correct":"","q87_explanation":"","q88_question":"","q88_option_a":"","q88_option_b":"","q88_option_c":"","q88_option_d":"","q88_correct":"","q88_explanation":"","q89_question":"","q89_option_a":"","q89_option_b":"","q89_option_c":"","q89_option_d":"","q89_correct":"","q89_explanation":"","q90_question":"","q90_option_a":"","q90_option_b":"","q90_option_c":"","q90_option_d":"","q90_correct":"","q90_explanation":"","q91_question":"","q91_option_a":"","q91_option_b":"","q91_option_c":"","q91_option_d":"","q91_correct":"","q91_explanation":"","q92_question":"","q92_option_a":"","q92_option_b":"","q92_option_c":"","q92_option_d":"","q92_correct":"","q92_explanation":"","q93_question":"","q93_option_a":"","q93_option_b":"","q93_option_c":"","q93_option_d":"","q93_correct":"","q93_explanation":"","q94_question":"","q94_option_a":"","q94_option_b":"","q94_option_c":"","q94_option_d":"","q94_correct":"","q94_explanation":"","q95_question":"","q95_option_a":"","q95_option_b":"","q95_option_c":"","q95_option_d":"","q95_correct":"","q95_explanation":"","q96_question":"","q96_option_a":"","q96_option_b":"","q96_option_c":"","q96_option_d":"","q96_correct":"","q96_explanation":"","q97_question":"","q97_option_a":"","q97_option_b":"","q97_option_c":"","q97_option_d":"","q97_correct":"","q97_explanation":"","q98_question":"","q98_option_a":"","q98_option_b":"","q98_option_c":"","q98_option_d":"","q98_correct":"","q98_explanation":"","q99_question":"","q99_option_a":"","q99_option_b":"","q99_option_c":"","q99_option_d":"","q99_correct":"","q99_explanation":"","q100_question":"","q100_option_a":"","q100_option_b":"","q100_option_c":"","q100_option_d":"","q100_correct":"","q100_explanation":""},"_links":{"self":[{"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/posts\/20293","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/comments?post=20293"}],"version-history":[{"count":7,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/posts\/20293\/revisions"}],"predecessor-version":[{"id":20297,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/posts\/20293\/revisions\/20297"}],"wp:attachment":[{"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/media?parent=20293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/categories?post=20293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geographynotespdf.com\/cms\/wp-json\/wp\/v2\/tags?post=20293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}