Questions
If the mean deviation of the numbers from their mean is then is equal to
a
10.0
b
20.0
c
10.1
d
20.2
detailed solution
Correct option is C
Let X denote the mean of the given numbers.Then, X¯=1+(1+d)+(1+2d)+…+(1+100d)101⇒ X¯=1012{1+(1+100d))101=1+50d∴ Mean deviation =1101∑r=0100 |(1+rd)−(1+50d)|⇒ Mean deviation =1101∑r=0100 |r−50|⇒ Mean deviation =d101×2∑r=150r⇒ Mean deviation =2d101×50×512=50×51101d.It is given that the mean deviation is 255.∴ 255=50×51101d⇒d=10.1Talk to our academic expert!
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