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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 |
Solution
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.
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