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Lesson Plan: Percentiles and Quartiles Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to compute percentiles and quartiles from a given data set.

Objectives

Students will be able to

  • find the quartiles (including the median) and percentiles from a given discrete data set,
  • estimate quartiles (including the median) and percentiles from a continuous data set using a grouped frequency table,
  • interpret quartiles and percentiles and measures of location,
  • calculate or estimate the interquartile range (IQR) and the range of a discrete or continuous data set and interpret the IQR as a measure of spread,
  • calculate or estimate an interpercentile range of a discrete or continuous data set and interpret it as a measure of spread,
  • understand when it is not possible to estimate a quartile or percentile using a grouped frequency table.

Prerequisites

Students should already be familiar with

  • the mean, median, and mode,
  • grouped frequency tables,
  • class boundaries, class width, and the class midpoint.

Exclusions

Students will not cover

  • standard deviation,
  • box plots,
  • outliers.

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