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

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20.2

20.0

10.1

10.0

answer is C.

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Detailed Solution

M.D. from Mean of $a_{1} a + d, a + 2 d, ...... a + 2 n d$ is $\frac{a (n + 1)}{2 n + 1} = 25 5, n = 50, d = 10 %$

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