Q.

The mean of n items is X¯ .If the first term, second term, third term …. is increased by 1,2,3… and so on. Then new mean is

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a

X¯+n2

b

X¯+n+12

c

X¯+n

d

X¯+n−12

answer is B.

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Detailed Solution

We have a1+1,a2+2,a3+3,….an+n∴ Mean =a1+a2+….+an+(1+2++…n)n                =X¯+1+2+3+….+nn                =X¯+n(n+1)2n
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The mean of n items is X¯ .If the first term, second term, third term …. is increased by 1,2,3… and so on. Then new mean is