The average age of a committee of 11 persons increases by 2 yr, when 3 men of 32 yr, 34 yr and 33 yr are replaced by 3 women. What will be the average age of those 3 women?
Explanation
According to the question
We use the formula,
Value of new observations= a + nb
[Average increases, hence '+' sign (a+nb) has been taken.]
Here, n=11, a= 32+33+34= 99 yr, b= 2 yr
Age of three women = a+nb
= 99+11×2
= 99+22= 121 yr
Average age of three women
== 40.33 kg (or) = yr
Hence, Option B is correct.
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