Question

Draw histogram for the following frequency distribution:

Answer 1

The given frequency distribution is:

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

Step 1: Since the given frequency distribution is in inclusive form, we need to convert it into exclusive form. Thus, on converting it into exclusive form, we get the frequency distribution as shown below.

Step 2: We draw the x and y-axes.

Step 3: We choose a proper scale for the axes. Let 1 cm = 10 on the x-axis and 1 cm = 2 on the y-axis.

Step 4: We mark the class intervals on the x-axis as (−0.5−10.5), (10.5−20.5), (20.5−30.5), etc.

Step 5: We draw a rectangle of height 4 cm on the first class interval (−0.5−10.5).

Step 6: We draw a second rectangle of height 18 cm on the second class interval (10.5−20.5). 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.