Questions
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.
detailed solution
We can see from the provided data that the class intervals have a range of widths. As a result, the rectangular bars will have different widths, which will produce an inaccurate representation of the data.
In a histogram, the areas of the rectangles should match the frequencies.
Therefore, we must alter the lengths in a specific way to make the area proportionate to the frequencies.
The lengths of the rectangles are then adjusted in accordance with the size of the class.
For instance, the rectangle is 10 inches long when the class size is 5. Therefore, if the class size is 1, the rectangle's length will be 10/5 1 = 2.
The histogram of the above data is as follows,
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