Draw a histogram to represent the following grouped frequency distribution :
| Ages (in years) | Number of teachers |
| 20-24 | 10 |
| 25-29 | 28 |
| 30-34 | 32 |
| 35-39 | 48 |
| 40-44 | 50 |
| 45-49 | 35 |
| 50-54 | 12 |
We can see that the intervals are 20-24, 25-29, 30-34....etc
For the interval 20-24: Upper limit is 24
For the interval 25-29: Lower limit is 25
Difference = 25 - 24 = 1
Now, we will subtract 0.5 from all lower limits & add 0.5 to all upper limits
| Ages | No. of teachers |
| 19.5-24.5 | 10 |
| 24.5-29.5 | 28 |
| 29.5-34.5 | 32 |
| 34.5-39.5 | 48 |
| 39.5-44.5 | 50 |
| 44.5-49.5 | 35 |
| 49.5-54.5 | 12 |
Now, we draw the diagram.
We can see that the intervals are etc
For the interval : Upper limit is
For the interval : Lower limit is
Difference
Now,
Now, we will subtract 0.5 from all lower limits & add 0.5 to all upper limits
| Ages | No. of teachers |
| 19.5-24.5 | 10 |
| 24.5-29.5 | 28 |
| 29.5-34.5 | 32 |
| 34.5-39.5 | 48 |
| 39.5-44.5 | 50 |
| 44.5-49.5 | 35 |
| 49.5-54.5 | 12 |
Now, we draw the diagram.