Question

histogram tabke with unequal class length

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When drawing histograms it is possible that the intervals will not have the same width.

Consider the data given in the table below.

See in attacment

The way the data have been presented makes it impossible to draw a histogram with equal class intervals.

In order to keep the histogram fair, the area of the bars, rather than the height, must be proportional to the frequency. So on the vertical scale we plot frequency density instead of frequency, where

Frequency Density = FrequencyClass Width

Rewriting the table with an extra column for frequency density, gives

See in attachment

and you can draw the histogram with frequency density on the vertical axis.

See in attachment

Note

You can see that it is the area that is proportional to the frequency – in fact, a frequency of 1 is represented by 10 little squares.

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