Question

22. The mean of 15 observations is 32. Find the resulting mean, if each observation is: (i) increased by 3 (ii) decreased by(v) increased by 60 percent

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Answer 1

35 ;

32 + v

51.2

Explanation:

If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount

Hence,

For 15 observations whose mean is 32

If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35

If each observation is decreased by v ; the resulting mean would also decrease by v ;

32 - v

If each observation is increased by 60% ; the resulting mean will be ;

(1 + 60%) * initial mean

(1 + 0.6) * 32

1.6 * 32 = 51.2