Question

The age of the employees in a startup company is shown below. Find the average age of the employees.

$\begin{array}{cc}\text{Age}& \text{No. of Employees}\\ 18-26& 30\\ 26-34& 70\\ 34-42& 50\\ 42-50& 30\\ 50-58& 10\\ 58-66& 10\end{array}$

Answer 1

Let the asumed mean be 29

$\begin{array}{cccc}\text{Age}& x_i& f_i& f_i{x}_i\\ 18-26& 22& 30& 660\\ 26-34& 30& 70& 210\\ 34-42& 38& 50& 1900\\ 42-50& 46& 30& 1380\\ 50-58& 54& 10& 540\\ 58-66& 62& 10& 620\end{array}$

$\sum f_i=200$

$\sum f_i{d}_i=5310$

Mean $=\frac{5310}{200}=26.55$

Average age of employees will be mean of their age which is 26.55.