wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

(a) X+n
(b) X+n2
(c) X+n+12
(d) None of these

Open in App
Solution

Let x1, x2,x3,...,xn be the n observations.

Mean=X=x1+x2+...+xnn

x1+x2+x3+...+xn=nX

If the first item is increased by 1, second by 2 and so on.

Then, the new observations are x1+1, x2+2,x3+3,...,xn+n.

New mean = x1+1+ x2+2+x3+3+...+xn+nn
=x1+x2+x3+...+xn+1+2+3+...+nn=nX+nn+12n=X+n+12

Hence, the correct answer is (c).


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Measures of Central Tendency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon