Q.

The mean income of a group of workers is X¯ and that of another group isY¯ . If the number of workers in the second group is 10 times the number of workers in the first group, then the income of combined group is

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a

X¯+10Y¯3

b

X¯+10Y¯11

c

X¯+10Y¯Y

d

X¯+10Y¯9

answer is B.

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Detailed Solution

Let the number of workers in two groups be n and 10 n then the mean income = nX¯+10nY¯n+10n= X¯+10Y¯11
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The mean income of a group of workers is X¯ and that of another group isY¯ . If the number of workers in the second group is 10 times the number of workers in the first group, then the income of combined group is