If the mean deviation of the numbers 1 , 1 + d , … , 1 + 100 d from their mean is 255 , then a value of d is :

Question

If the mean deviation of the numbers 1 , 1 + d , … , 1 + 100 d from their mean is 255 , then a value of d is :, 10 . 1, 5 . 05, 20 . 2, 10

MARKS App · Accepted Answer

Mean x - = 1 101 1 + 1 + d + 1 + 2 d … . 1 + 100 d = 1 101 × 101 2 1 + 1 + 100 d = 1 + 50 d Mean deviation from mean = 1 101 1 - 1 + 50 d + 1 + d - 1 + 50 d … . 1 + 100 d - 1 + 50 d = 2 d 101 1 + 2 + 3 … . + 50 = 2 d 101 50 50 + 1 2 = 2550 101 d = 255 ⇒ d = 10 .1

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