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$The mean of n items is \bar{X} . If the first item is increased by 1, second by 2 and so on, then the new mean is$

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X+n

X+n2

X+n+12

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Correct option is C

Let x1,x2,…,xn be n items. Then X¯=1nΣxi . Let y1=x1+1,y2=x2+2,y3=x3+3,…,yn=xn+nThen the mean of the new series is 1n∑xi+i=1n∑xi+1n(1+2+3+⋯+n)=X¯+1nn(n+1)2=X¯+n+12

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Variate x	1	2	3	4	5
Frequency f of x	4	5	y	1	2

The mean of n items is X¯ . If the first item is increased by 1 , second by 2 and so on, then the new mean is

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Ready to Test Your Skills?

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$The mean of n items is \bar{X} . If the first item is increased by 1, second by 2 and so on, then the new mean is$