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Cumulative Frequencies Diagrams

This lesson can be used for revision for the higher Maths GCSE. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations.

How to draw and use cumulative frequency diagrams?

Questions that may be asked about the cumulative frequency:
1) Complete the cumulative frequency table.
2) Draw the cumulative frequency diagram.
3) Use the graph to estimate the median, lower quartiles or upper quartiles.
4) Work out the interquartile range.
5) Estimate how many below a certain number.
6) Estimate how many above a certain number.
7) Draw a box plot.

Example 1:
The grouped frequency table shows information about the weekly wages of 80 factory workers.
(a) Complete the cumulative frequency table.
(b) On the grid, draw a cumulative frequency graph for your table.
(c) Use your graph to find an estimate for the interquartile range.
(d) Use your graph to find an estimate for the number of workers with a weekly wage of more than $530
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