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

Q. 8.     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 data above.

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Since the class sizes vary to make the histogram we have to calculate the weighted frequency for each rectangle as per its width

$\\Weighted\ frequency=\frac{Minimum\ class\ size}{Class\ size\ of\ the\ interval}\times Frequency\\ Length\ of\ the\ rectangle=\frac{Minimum\ width}{Width\ of\ the\ rectangle}\times Frequency$

Minimum class size = 2 - 1 = 1

The modified table showing the weighted frequency as per the size of the class intervals is as follows.

The histogram representing the information given in the above table is as follows.

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