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Q.

If the variance of the data 2, 3, 5, 8, 12 is σ2 and the mean deviation from the median for this data is M then σ2–M =

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a

10.2

b

10.6

c

8.2

d

5.8

answer is A.

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Detailed Solution

Data 2, 3, 5, 8, 12
Median = 5
Mean deviation from median 
=xMediann=3+2+0+3+75
M=155=3
Variance 

σ2=x2nxn2=22+32+52+82+12252+3+5+8+1252=13.2
σ2M=10.2

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