Navigation

6-8 Accelerated 6 Unit 8 Lesson 7

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

•Accelerated 6 Accelerated 7

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 •Unit 8 Unit 9

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 •Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17

K-5
6-8
9-12

Accelerated 6
Accelerated 7

Grade 6
Grade 7
Grade 8

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17

Lesson | Practice | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) . OUR's 6-8 Math Curriculum is available at https://openupresources.org/math-curriculum/ .

Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations and additions to create IM 6–8 Math v.360 Accelerated are ©2025 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Settings

Audience

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

teacher
student
family

Unit 8, Lesson 7

Box Plots and Interquartile Range

Accelerated 6

Practice

Problem 1

Suppose that there are 20 numbers in a data set and that they are all different.

How many of the values in this data set are between the first quartile and the third quartile?
How many of the values in this data set are between the first quartile and the median?

to access Practice Problem Solutions.

Problem 2

Lesson 7 Resources

Student Materials

In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words.

<p>A dot plot, word value in points, 0 to 22 by twos. Beginning at 4 in increments of 1, the number of dots above each increment is 4, 2, 4, 3, 3, 3. There is a dot above 22.</p><br>

What is the median score?
What is the first quartile (Q1)?
What is the third quartile (Q3)?
What is the interquartile range (IQR)?

to access Practice Problem Solutions.

Problem 3

Mai and Priya each bowl 10 games and record the scores. Mai’s median score is 120, and her IQR is 5. Priya’s median score is 118, and her IQR is 15. Whose scores probably have less variability? Explain how you know.

to access Practice Problem Solutions.

Problem 4

Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data.

<p>Box plot, number of books, 0 to 16 by twos. Whisker from 2 to 5, box from 5 to 10 with vertical line at 6, whisker from 10 to 15.</p><br>

What is the greatest number of books read by a student in this group?
What is the median number of books read by the students?
What is the interquartile range (IQR)?

to access Practice Problem Solutions.

Problem 5

The data shows the number of hours per week that each of 13 seventh-grade students spent doing homework. Create a box plot to summarize the data.

3
10
12
4
7
9
5
5
11
11
5
12
11

to access Practice Problem Solutions.

Problem 6

ForLesson 10: Finding Differences

Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures?

\(9^\circ \text{C}\)
\(\text-3^\circ \text{C}\)
\(22^\circ \text{C}\)
\(\text-5^\circ \text{C}\)
\(11^\circ \text{C}\)
\(15^\circ \text{C}\)

to access Practice Problem Solutions.

Problem 7

ForLesson 10: Solving Multi-step Percentage Problems

The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.

By how much was the price discounted?
What was the percentage of the discount?

to access Practice Problem Solutions.