Question

Draw a histogram for the following frequency table:

Class interval	5 - 9	10 - 14	15 - 19	20 - 24	25 - 29	30 - 34
Frequency	5	9	12	10	16	12

Answer 1

We see that the class intervals are in inclusive manner. We first need to convert them into exclusive manner.

Class interval	Frequency
4.5 - 9.5	5
9.5 - 14.5	9
14.5 - 19.5	12
19.5 - 24.5	10
24.5 - 29.5	16
29.5 - 34.5	12

We take the true class limit on the x-axis on a suitable scale and the frequencies on the y-axis on suitable scales. Taking class intervals as bases and the corresponding frequencies as heights, we consrtuct rectangles to obtain a histogram of the given frequency distribution. Here as the class limits do not start from 0, we put a kink between 0 and the true lower boundary of the first class.