Question

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

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

• A. 36
• B. 34
• C. 33
• D. 32

Answer 1

The correct option is A 36

Let the assumed mean 'a' be 38.

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

Here,

$\sum f_i=200$

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

$\therefore Mean=a+\frac{\sum f_i{d}_i}{\sum f_i}$

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

$\therefore$ The average age of employees is 36.