Q.

If the mean deviation about the median of numbers a,2a,3a,….50a is 50 , then |a| equals

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a

3

b

2

c

5

d

4

answer is D.

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Detailed Solution

From the given data, median A=25+262(a)=25.5a Required mean deviation about median =Σxi−An=a-25.5a+2a-25.5a+3a-25.5a+......+50a-25.5a50=2∣0.5+1.5+2.5+……24.550|a|=50 =1+3+5+.......+4950a=50⇒|a|=4
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If the mean deviation about the median of numbers a,2a,3a,….50a is 50 , then |a| equals