Question

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

$\begin{array}{cc}\text{Age}& \text{No. of Employees}\\ 18-26& 30\\ 26-34& 70\\ 34-42& 50\\ 42-50& 30\\ 50-58& 10\\ 58-66& 10\end{array}$ [3 MARKS]

Answer 1

Concept: 1 Mark
Table: 1 Mark
Application: 1 Mark

Let the asumed mean be 38

$\begin{array}{ccccc}\text{Age}& x_i& f_i& d_i& f_i{d}_i\\ 18-26& 22& 30& -16& -480\\ 26-34& 30& 70& -8& -560\\ 34-42& 38& 50& 0& 0\\ 42-50& 46& 30& 8& 240\\ 50-58& 54& 10& 16& 160\\ 58-66& 62& 10& 24& 240\end{array}$

$\sum f_i=200$

$\sum f_i{d}_i=-400$

Mean
$=38+\frac{-400}{200}=38-2=36$

Average age of employees will be mean of their age which is 36.