Question

A random survey of the number of children of various age groups playing in a park was found as follows:Age (in years)	Number of children

  1 − 2      | 5  

2 − 3| 3
3 − 5| 6
5 − 7| 12
7 − 10| 9
10 − 15| 10
15 − 17| 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 classes	Length of rectangle

  1 − 2      | 5| 1| $\frac{5 \times 1}{1}=5$  

2 − 3| 3| 1| $\frac{3 \times 1}{1}=3$
3 − 5| 6| 2| $\frac{6 \times 1}{1}=6$
5 − 7| 12| 2| $\frac{12 \times 1}{1}=12$
7 − 10| 9| 3| $\frac{9 \times 1}{1}=9$
10 − 15| 10| 5| $\frac{10 \times 1}{1}=10$
15 − 17| 4| 2| $\frac{4 \times 1}{1}=4$

Taking the age of children on x-axis and proportion of children per 1 year interval on yaxis, the histogram can be drawn as follows.