The mean deviation of the series a 2 , a 2 + d , a 2 + 2 d , . . . . . , a 2 + 2 n d from its median is

Question

The mean deviation of the series a 2 , a 2 + d , a 2 + 2 d , . . . . . , a 2 + 2 n d from its median is, n + 1 d 2 n + 1, n d 2 n + 1, n n + 1 d 2 n + 1, 2 n + 1 d n n + 1

MARKS App · Accepted Answer

Median or mean x ¯ = 2 n + 1 2 ⋅ a 2 + a 2 + 2 n d 2 n + 1 = a 2 + n d ∵ M e a n = M e d i a n Σ x i - x ¯ = 2 d 1 + 2 + . . . . + n = n n + 1 d ∴ M . D . = n n + 1 d 2 n + 1

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