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Q.

If the mean deviation of numbers  1, 1+d,1+2d, ………1+100d from their mean is 255,then the d is equal to

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a

10.0

b

20.0

c

10.1

d

20.2

answer is C.

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Detailed Solution

(x¯)= Sum of quantities n=n2(a+l)n=12(1+1+100d)=1+50d∴MD=1n∑xi−x¯⇒255=1101(50d+49d+48d+…+d+0+d+…+50d)=2d10150×512⇒ d=255×10150×51=10.1
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