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Cumulative Frequency Histograms and Cumulative Frequency Polygons

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In this media, you are going to learn how to construct the cumulative frequency histogram.
A cumulative frequency histogram representing the accumulated bars is called cumulative histogram.
Let's look at the example.
Construct a cumulative frequency histogram for the following data:
To construct the cumulative frequency histogram we need to compute the cumulative frequency for each interval.
This entails adding the frequencies of all the intervals up to and including the interval whose cumulative frequency we are calculating.
Let's find the cumulative frequency for the interval 11- 15.
Add the frequency of that interval with the frequencies of all the lower intervals.
Thus, the corresponding frequency of the interval 11-15 is 2+3+6=11.
We find the other cumulative frequencies in the same way, obtaining the desired cumulative frequency distribution.
We then create a picture of the cumulative frequency distribution by marking the given intervals in increasing order on the x-axis and marking the corresponding cumulative frequencies on the y-axis.
Now, we draw the histogram depicting this situation.
By using a cumulative frequency histogram, we can find the median and other percentiles of the given set of data.
Thus, you have learned about cumulative frequency histograms.