Lesson: Interquartile Range Mathematics • 6th Grade

In this lesson, we will learn how to find the interquartile range given different representations of data.

Lesson Plan

Students will be able to

calculate the interquartile range and understand its use in measuring the spread of data,
calculate each of the quartiles of a data set and the differences between the quartiles and understand how they measure values that split up the data,
understand that the interquartile range should contain about half of the values in the data set,
calculate the interquartile range when given the data set and when given the quartiles,
find the value of an unknown quartile given the interquartile range and either the lower or upper quartile.

Q1:

Using the given box-and-whisker plot, find the interquartile range of the data.

Q2:

Find the interquartile range of this set of data: 29.7, 36.2, 29.1, 11.7, 45.3, 19.6, 42.8, 57.9, 51.9, 42.9, 51.2, 5.4, 29.2, 15.4, and 11.6.

Q3:

Find the interquartile range of this set of data: 96, 52, 87, 114, 76, 101, 76, 114, 99, 96, 88, 111, 88, 94, 53.