Mathematics
Draw a histogram for the following frequency distribution :
| Age (in years) | No. of children |
|---|---|
| below 2 | 12 |
| below 4 | 15 |
| below 6 | 36 |
| below 8 | 45 |
| below 10 | 72 |
| below 12 | 90 |
Answer
Frequency distribution table for above data is :
| Age (in years) | No. of children (Cumulative frequency) | Frequency |
|---|---|---|
| 0 - 2 | 12 | 12 |
| 2 - 4 | 15 | 3 (15 - 12) |
| 4 - 6 | 36 | 21 (36 - 15) |
| 6 - 8 | 45 | 9 (45 - 36) |
| 8 - 10 | 72 | 27 (72 - 45) |
| 10 - 12 | 90 | 18 (90 - 72) |
Steps of construction of histogram :
Take 2 cm along x-axis = 2 years.
Take 1 cm along y-axis = 3 children.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the adjoining figure.
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