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Which average would be suitable in the following case? When the sum of absolute deviations from average is least.

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Question

Which average would be suitable in the following case?

When the sum of absolute deviations from average is least.

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Solution

When the sum of absolute deviations from average is the least, then mean could be used to calculate the average. This is an important mathematical property of arithmetic mean. The algebraic sum of the deviations of a set of n values from A.M. is 0.

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Chapter 5: Measures of Central Tendency - Exercise [Page 71]

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NCERT Statistics for Economics [English] Class 11
Chapter 5 Measures of Central Tendency
Exercise | Q 1. (v) | Page 71
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