Question

The daily wages of 50 workers in a factory are given below :

$\begin{array}{ccccccc}\text{Daily}& 340-380& 380-420& 420-460& 460-500& 500-540& 540-580\\ \text{wages in}& & & & & & \\ \text{rupees}& & & & & & \\ \text{Number of}& 16& 9& 12& 2& 7& 4\\ \text{workers}& & & & & & \end{array}$

Construct a histogram to represent the above frequency distribution.

Answer 1

Given frequency distribution is as below:

$\begin{array}{ccccccc}\text{Daily}& 340-380& 380-420& 420-460& 460-500& 500-540& 540-580\\ \text{wages in}& & & & & & \\ \text{rupees}& & & & & & \\ \text{Number of}& 16& 9& 12& 2& 7& 4\\ \text{workers}& & & & & & \end{array}$

In the class intervals, if the upper limit of one class is the lower limit of the next class, it is known as the exclusive method of classification.

Clearly, the given frequency distribution is in the exclusive form.
To draw the required histogram , take class intervals , i.e. daily wages (in Rs. ) along x-axis and frequencies i.e.no.of workers alongy-axisand draw rectangles . So , we get the required histogram .

Since the scale on X-axis starts at 340, a kink(break) is indicated near the origin to show that the graph is drawn to scale beginning at 340.