# 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.