Let x 1 , x 2 ,..., x 100 be in an arithmetic progression, with x 1 = 2 and their mean equal to 200. If 
, then the mean of 
is
Text Solution
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Given,
Mean of x 1 , x 2 ..........,x 100 is 200
So, the sum of observation will be,
= 100x 200
Now using the sum of A. P formula in above equation as all terms are in arithmetic progression we get,
(x 1 + x 100 )= 100x200
50(2 + x 100 )= 100 x 200
x 100 = 398
x 1 + 99d = 398
d = 4
Now x i = 2 + (i - 1)4 = 4i - 2
So, y i = i(x i - i)= 3i 2 - 2i
Now finding mean we get,
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