Lesson Plan: Cumulative Frequency
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to draw a cumulative frequency diagram and how to use it to make estimations about the data.
Students will be able to
- construct a cumulative frequency table from a grouped frequency table,
- draw a cumulative frequency diagram as a smooth curve,
- interpret a cumulative frequency diagram to estimate the frequency of occurrence of a given event,
- approximate the median, upper and lower quartiles, and the percentile of a data set using a given cumulative frequency diagram,
- construct a box-and-whiskers plot from a given cumulative frequency diagram,
- compare two different data sets using their cumulative frequency diagrams.
Students should already be familiar with
- grouped frequency tables,
- the mean, median, and quartiles,
- constructing box-and-whisker plots.
Students will not cover
- the frequency polygon or ogive,
- relative frequency,
- descending cumulative frequency graphs,
- using linear interpolation to estimate the median and quartiles.