Question

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.

Answer 1

Here, it can be observed that the data has class intervals of varying width. The proportion of children per 1 year interval can be calculated as follows.

Age (in years)	Frequency (Number of children)	Width of class	Length of rectangle
1 − 2	5	1
2 − 3	3	1
3 − 5	6	2
5 − 7	12	2
7 − 10	9	3
10 − 15	10	5
15 − 17	4	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 as follows.