A random survey of the number of children of various age groups playing in park was found as follows:
|
Age (in years) |
Number of children |
|
1 - 2 2 - 3 3 - 5 5 - 7 7 - 10 10 - 15 15 - 17 |
5 3 6 12 9 10 4 |
Draw a histogram to represent the data above.
The class intervals in the data is having varying width. We know that the area of rectangle is proportional to the frequencies in the histogram. The class interval with minimum class size 1 is selected and the length of the rectangle is proportionate to it.
| Age (in years) | Number of children (frequency) | Width of class | Length of rectangle |
| 1-2 | 5 | 1 | (5/1)×1 = 5 |
| 2-3 | 3 | 1 | (3/1)×1 = 3 |
| 3-5 | 6 | 2 | (6/2)×1 = 3 |
| 5-7 | 12 | 2 | (12/2)×1 = 6 |
| 7-10 | 9 | 3 | (9/3)×1 = 3 |
| 10-15 | 10 | 5 | (10/5)×1 = 2 |
| 15-17 | 4 | 2 | (4/2)×1 = 2 |
Taking the age of children on x-axis and proportion of children per 1 year interval on y-axis, the histogram can be drawn
