Question

Draw a histogram to represent the following frequency distribution.

Class – Interval	Frequency
20 – 25	5
25 – 30	10
30 – 35	18
35 – 40	14
40 – 45	12

Answer 1

The given frequency distribution is:

To draw a histogram for this frequency distribution, we follow the steps below.

Step 1: We draw the x and y-axes.

Step 2: We choose a proper scale for the axes. Let 1 cm = 5 on the x-axis and 1 cm = 5 on the y-axis.

Step 3: We mark the class intervals on the x-axis as (20−25), (25−30), (30−35), etc.

Step 4: We draw a rectangle of height 5 cm on the first class interval (20−25).

Step 5: We draw a second rectangle of height 10 cm on the second class interval (25−30). We follow the same procedure for the remaining class intervals and the corresponding frequencies. Thus, we get the required histogram for the given frequency distribution as shown below.