Lesson: Box-and-Whisker Plots Mathematics • 6th Grade

In this lesson, we will learn how to construct and analyze data from box-and-whisker plots.

Lesson Plan

Students will be able to

construct a box-and-whisker plot of a data set (with and without an outlier) when given the lowest or highest values, the lower or upper quartiles, and the median,
identify the upper and lower quartiles, the range, the median, and the IQR from a given box-and-whisker plot,
compare and contrast the center and spread of two data sets when given their box-and-whisker plots within the same grid,
construct a box-and-whisker plot from a raw data set.

Q1:

Noah has calculated the following information from a data set about the ages of swimmers on a Saturday morning in a swimming pool:

Draw a box-and-whisker plot using the information Noah has calculated from the data set.

What is the overall age range of the Saturday morning swimmers?

What percentage of Saturday morning swimmers were between 7 and 22 years old?

Calculate and interpret the percentage of Saturday morning swimmers covered by the box.

Q2:

A middle school surveyed the heights (in centimeters) of 100 students and summarized the results in the following table.

Which of the following box-and-whisker plots could represent this data set?

Q3:

Liam has calculated the following information from a data set about the ages of people present on a Saturday morning in a swimming pool:

lowest value: 7

lower quartile: 10

median: 15

upper quartile: 22

highest value: 31

Liam draws a box plot from the data. Which of the following box plots did Liam draw?