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Question

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

A
10.0
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B
20.0
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C
10.1
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D
20.2
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Solution

The correct option is C 10.1
Mean, ¯¯¯x=1012(1+1+100d)101=1+50d
Mean deviation =1n|xi¯¯¯x|
255=1101(50d+49d++d+0+d++50d)
255=2d101(50×512)
d=10.1

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