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Question

If the average of m numbers is n2 and that of n number is
m2, then the average of (m+n) numbers is

A
mn
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B
mn
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C
(m+n)
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D
mn
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Solution

The correct option is B mn
Average is the sum of the data values divided by the total number of data values.

Given that average of m numbers is n2

n2=sum of m numbersm

Therefore, sum of m numbers =mn2

Given that average of n numbers is m2

m2=sum of n numbersn

Therefore, sum of n numbers =nm2

Therefore, average of (m+n) numbers is mn2+nm2m+n=mn(m+n)m+n=mn


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