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Question

The sum of absolute deviation is least when taken from


A

Mean

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B

Median

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C

Mode

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D

None of the above

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Solution

The correct option is B

Median


Explanation for the correct answer:

Option(B):Median

Minimum deviation (MD) from mean =|X-X¯|n
MD from median =X-mediann
MD from mode =X-moden
Since median > mean (X¯) and median > mode.

So, It is clear that the mean deviation from median has the least value.

Hence, option(B)Median is the correct answer.

Explanation for the incorrect answer:

Option(A),Option(C) and Option(D):

The sum of absolute deviations is minimum when taken around the median.

So, options(A),(C) and (D) are incorrect answers.

Therefore, option(B) is the correct answer.


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