{"id":20486,"date":"2026-01-23T19:36:21","date_gmt":"2026-01-23T14:06:21","guid":{"rendered":"https:\/\/www.geographynotespdf.com\/?p=20486"},"modified":"2026-03-17T08:33:23","modified_gmt":"2026-03-17T03:03:23","slug":"quartile-deviation","status":"publish","type":"post","link":"https:\/\/geographynotespdf.com\/cms\/quartile-deviation\/","title":{"rendered":"2. Quartile Deviation (\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928)"},"content":{"rendered":"\n\n\n
\n

Quartile Deviation <\/strong><\/span><\/h2>\n

(\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928)<\/strong><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\n
\n

\u092a\u0930\u093f\u091a\u092f<\/strong><\/span><\/h3>\n

\u00a0 \u00a0 \u00a0\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928 (Quartile Deviation) \u0905\u092a\u0938\u0930\u0923 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092e\u093e\u092a \u0939\u0948, \u091c\u094b \u0915\u093f\u0938\u0940 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092e\u0927\u094d\u092f 50% \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

\u00a0 \u00a0 \u00a0Quartile Deviation is an important measure of dispersion that shows the spread of the middle 50% of observations in a distribution.<\/strong><\/span><\/p>\n

✍️ \u0907\u0938\u0947 Semi-Interquartile Range \u092d\u0940 \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ It is also known as the semi-interquartile range.<\/strong><\/span><\/p>\n

Definition<\/strong><\/span><\/h3>\n

\u00a0 \u00a0Quartile Deviation is half of the difference between the third quartile (Q\u2083) and the first quartile (Q\u2081). \u0905\u0930\u094d\u0925\u093e\u0924 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928, \u0924\u0943\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u0915 (Q\u2083) \u0914\u0930 \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u0915 (Q\u2081) \u0915\u0947 \u0905\u0902\u0924\u0930 \u0915\u093e \u0906\u0927\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

\u0928\u094b\u091f:\u00a0<\/strong><\/span><\/p>\n

✍️ \u091c\u093f\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0938\u092e\u0942\u0939 \u0915\u094b \u0926\u094b \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0920\u0940\u0915 \u0909\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 Quartile Deviation \u0938\u092e\u0942\u0939 \u0915\u094b \u091a\u093e\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u093e\u0901\u091f\u0947 \u0917\u092f\u0947 \u092d\u093e\u0917\u094b\u0902 \u0915\u094b Quartile \u0926\u094b-\u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0938\u0947 \u091b\u094b\u091f\u093e \u0939\u094b\u0924\u093e \u0939\u0948, \u092f\u0939 \u0932\u0918\u0941 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ \u0926\u0942\u0938\u0930\u093e \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ \u0924\u0943\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0938\u0947 \u092c\u0921\u093c\u093e \u0939\u094b\u0924\u093e \u0939\u0948, \u092f\u0939 \u0926\u0940\u0930\u094d\u0918 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964\u00a0<\/strong><\/span><\/p>\n

✍️ \u0932\u0918\u0941 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0915\u094b Q1<\/sub> \u0938\u0947 \u0924\u0925\u093e \u0926\u0940\u0930\u094d\u0918 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0915\u094b\u00a0 Q3 \u0938\u0947 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ For individual and Discreate series-<\/strong><\/span><\/p>\n

Q\u2081<\/sub> = (n+1\/4)th<\/sup> term<\/strong><\/span><\/p>\n

Q3 <\/sub>= 3(n+1\/4)th<\/sup> term<\/strong><\/span><\/p>\n

\"Quartile<\/strong><\/span><\/p>\n

\"\"<\/strong><\/span><\/p>\n

where,\u00a0<\/strong><\/span><\/p>\n

Q1<\/sub> = First Quartile (Lower Quartile)<\/strong><\/span><\/p>\n

Q2<\/sub> = Second Quartile (Median)<\/strong><\/span><\/p>\n

Q3<\/sub> = Third Quartile (Upper Quartile)<\/strong><\/span><\/p>\n

Example: 2, 7, 9, 14, 1 \u0915\u093e \u092e\u0927\u094d\u092f\u093f\u0915\u093e \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/strong><\/span><\/p>\n

1, 2, 7<\/span>, 9, 14<\/strong><\/span><\/p>\n

\"\"<\/strong><\/span><\/p>\n

\u0928\u094b\u091f:\u00a0 Median \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0940\u0930\u0940\u091c \u0915\u094b \u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0902\u091f\u0924\u093e \u0939\u0948 \u091c\u092c\u0915\u093f QD. \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0940\u0930\u0940\u091c \u0915\u094b \u091a\u093e\u0930 \u092c\u0930\u093e\u092c\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0902\u091f\u0924\u093e \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ \u092f\u0939\u093e\u0901 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0928\u093e \u0939\u0948 \u0915\u093f \u0926\u094b \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0938\u0940\u0930\u0940\u091c \u0915\u094b \u092c\u093e\u0902\u091f\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0924\u094d\u0930 \u090f\u0915 Value \u0905\u0930\u094d\u0925\u093e\u0924 Median \u0915\u0940 \u091c\u0930\u0941\u0930\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u092c\u0915\u093f \u0907\u0938\u0940 \u0938\u0940\u0930\u0940\u091c \u0915\u094b \u091a\u093e\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u0924\u0940\u0928 Value \u0905\u0930\u094d\u0925\u093e\u0924 Q1<\/sub>, Q2<\/sub>, Q3 <\/sub>\u0915\u0940 \u091c\u0930\u0941\u0930\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/strong><\/span><\/p>\n

✍️ Q1 \u0915\u0940 \u092c\u093e\u0924 \u0915\u0940 \u091c\u093e\u092f\u0947 \u0924\u094b 25% Observation Q1 \u0915\u0947 \u092a\u0939\u0932\u0947 \u091c\u092c\u0915\u093f 75% Observation Q1 \u0915\u0947 \u092c\u093e\u0926 \u0906\u0924\u0947 \u0939\u0948\u0964<\/strong><\/span><\/p>\n

\"\"<\/span><\/p>\n

✍️ Q2 \u0915\u0940 \u092c\u093e\u0924 \u0915\u0940 \u091c\u093e\u092f\u0947 \u0924\u094b 50% Observation Q2 \u0915\u0947 \u092a\u0939\u0932\u0947 \u091c\u092c\u0915\u093f 50% Observation Q2 \u0915\u0947 \u092c\u093e\u0926 \u0905\u0930\u094d\u0925\u093e\u0924 \u092c\u0930\u093e\u092c\u0930 \u092c\u0930\u093e\u092c\u0930 Observation \u0906\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 Q2 \u0939\u0940 Median \u0939\u0948\u0964<\/span><\/strong><\/p>\n

✍️ Q3 \u0915\u0940 \u092c\u093e\u0924 \u0915\u0940 \u091c\u093e\u092f\u0947 \u0924\u094b 75% Observation Q3 \u0915\u0947 \u092a\u0939\u0932\u0947 \u091c\u092c\u0915\u093f 25% Observation Q3 \u0915\u0947 \u092c\u093e\u0926 \u0906\u0924\u093e \u0939\u0948\u0964<\/span><\/strong><\/p>\n

\"Quartile<\/p>\n

\u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \/ Merits<\/span><\/strong><\/span><\/p>\n

✍️ \u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0938\u0947 \u0915\u092e \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \/ Less affected by extreme values<\/span><\/p>\n

✍️ \u0938\u0930\u0932 \u090f\u0935\u0902 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \/ Simple and easy to understand<\/span><\/p>\n

✍️ \u0905\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \/ Suitable for skewed distributions<\/span><\/p>\n

\u0938\u0940\u092e\u093e\u090f\u0901 \/ Demerits<\/span><\/strong><\/span><\/p>\n

✍️ \u0915\u0947\u0935\u0932 \u092e\u0927\u094d\u092f 50% \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \/Based only on middle 50% observations<\/span><\/p>\n

✍️ \u092c\u0940\u091c\u0940\u092f \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0905\u0928\u0941\u092a\u092f\u0941\u0915\u094d\u0924 \/ Not suitable for algebraic treatment<\/span><\/p>\n

\u092e\u0939\u0924\u094d\u0935 \/ Importance<\/span><\/strong><\/p>\n

✍️ \u0906\u092f \u090f\u0935\u0902 \u0935\u0947\u0924\u0928 \u0905\u0927\u094d\u092f\u092f\u0928 \/ Income and wage analysis<\/span><\/p>\n

✍️ \u0938\u093e\u092e\u093e\u091c\u093f\u0915-\u0906\u0930\u094d\u0925\u093f\u0915 \u0905\u0928\u0941\u0938\u0902\u0927\u093e\u0928 \/ Socio-economic research<\/span><\/p>\n

✍️ \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u090f\u0935\u0902 \u092d\u0942\u0917\u094b\u0932 \u0905\u0927\u094d\u092f\u092f\u0928 \/ Population & Geography studies<\/span><\/p>\n

\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/span><\/strong><\/span><\/h3>\n

\u00a0 \u00a0 \u00a0 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928 \u090f\u0915 \u0938\u0930\u0932, \u0935\u093f\u0936\u094d\u0935\u0938\u0928\u0940\u092f \u090f\u0935\u0902 \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0905\u092a\u0938\u0930\u0923 \u092e\u093e\u092a \u0939\u0948, \u091c\u094b \u0905\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u0923 \u092e\u0947\u0902 \u0905\u0924\u094d\u092f\u0902\u0924 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u0964 \/ Quartile Deviation<\/a> is a simple, reliable, and practical measure of dispersion<\/a>,<\/strong> especially useful in skewed distributions.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Quartile Deviation (\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928) \u092a\u0930\u093f\u091a\u092f \u00a0 \u00a0 \u00a0\u091a\u0924\u0941\u0930\u094d\u0925\u0915 \u0935\u093f\u091a\u0932\u0928 (Quartile Deviation) \u0905\u092a\u0938\u0930\u0923 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092e\u093e\u092a \u0939\u0948, \u091c\u094b \u0915\u093f\u0938\u0940 \u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u092e\u0927\u094d\u092f 50% \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u092b\u0948\u0932\u093e\u0935 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u00a0 \u00a0 \u00a0Quartile Deviation is an important measure of dispersion that shows the spread of the middle 50% of observations in a distribution. ✍️ \u0907\u0938\u0947 Semi-Interquartile 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