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Question

The mean monthly salary of 10 members of a group is 1445, one more member whose monthly salary is 1500 joins the group. Find the mean monthly salary of 11 members of the group.

A
1400
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B
1460
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C
1480
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D
1450
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Solution

The correct option is D1450
We know that,
¯X=1n(xi)
n¯X=xi

Given that,
n=10 and ¯X= 1445

Now,
n¯X=xi
10×1445=xi
14450=xi

So, total monthly wages of 10 person = 14450
Monthly salary of one more person who joins the group is 1500

Total Monthly wages of 11 people
=
14450 + 1500 = 15950

Hence, average monthly salary to 11 people
=Total monthly wages11
=1595011
=1450

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