# Where and why do we plot points on cumulative frequency graphs?

At the end of each group. Say you have a table of groups and frequencies corresponding to those groups, for example for x we have group 0<x<=5 with frequency 6 and group 5<x<=15 with frequency 10. The cumulative frequency graph represents the total frequency below a certain value for x. Looking at the first group, all the 6 values for x could be 1. They could also be 2 ,3, 4 or 5 or even fractions. Or they could be mixed. The information given to us means that by the end of the group (when x=5), there are a total of 6 numbers. Therefore we plot the cumulative frequency at the highest value of the group. The point here is that cumulative graphs are an estimate because they are drawn with little information.

Answered by Osman O. Maths tutor

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