Question

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

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

Find the median age of the employees of the company. [3 MARKS]

Answer 1

Formula: 1 Mark
Table: 1 Mark
Application: 1 Mark

$\begin{array}{ccc}\text{Class Interval}& \text{Frequency}& \text{Cumulative Frequency}\\ 18-26& 30& 30\\ 26-34& 70& 100\\ 34-42& 50& 150\\ 42-50& 30& 180\\ 50-58& 10& 190\\ 58-66& 10& 200\end{array}$

Median
$=l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$

$=34+\frac{100-100}{50}\times 8$

$=34$