Correct option is B
Given:
- Average of m numbers = n
- Average of n numbers = m
We are asked to find the average of these (m + n) numbers.
Formula Used:
- Average =
- Sum = Average × Number of observations
Solution:
Find the total sum of the m numbers:
Sum₁ = m × n
Find the total sum of the n numbers:
Sum₂ = n × m
Total sum of (m + n) numbers = Sum₁ + Sum₂ = mn + mn = 2mn
Total number of observations = m + n
Average =
=
Hence, the average of these (m + n) numbers is:
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