A group consists of 3 males, 3 females and 5 children. The average age of the males is 50 years, that of females is 45 years and that of children is 10 years. What is approximate average age of the group?

Concept Used:

The average of the group of numbers is the ratio of the sum of all the numbers given to the total number.

The formula to found the average is given below.

⇒ Average (A) = (sum of all the observation, S) / (Total number of observation, n)

Explanation:-

In the given group, there are total 3 males, 3 females and 5 children.

So, total number of person in this group,

⇒ 3+ 3+ 5 = 11

The average age of the males is 50 years, that of females is 45 years and that of children is 10 years. So, the average age of the group,

\(\Rightarrow \rm {Av. Age} =\dfrac{50\times3+45\times3+10\times5}{11}\\ \Rightarrow \rm {Av. Age} =\dfrac{335}{11}\\ \Rightarrow \rm {Av. Age} \approx30.45 \ years\)

Thus, the approximate average age of the group is 30.45 years.

Hence, the correct option is 2.