A random survey of the number of children of various age groups playing in a park was found as follows:

Draw a histogram to represent the above given data.

Explanation

In the given frequency distribution, the class intervals are not of equal width. So, we would make modifications in the heights of the rectangles in the histogram in such a way that the areas of the rectangles are proportional to the frequencies.
Here, minimum class size `=1`
`therefore` height of the rectangle for a given class interval `=(("its frequency")/("its width")xx1)`
For example, the height of the rectangle for `10-15` is `((10)/(5)xx1)=2`
The height of the rectangle for 7-10 is `((9)/(3)xx1)=3`, etc.
Thus, we have

Now, we draw rectangles with given class intervals along the `x` -axis on a suitable scale and their corresponding heights along the `y` -axis on another suitable scale. Thus, we obtain the histogram of the given data, as shown below.