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.

©2024 Illustrative Mathematics®. Licensed under CC BY-NC 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.

Navigation

9-12 Integrated Math 1 Unit 3 Lesson 15

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

•Integrated Math 1 Integrated Math 2 Integrated Math 3

Unit

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

Modeling Prompts

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

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

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

Modeling Prompts

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

Settings

Audience

family

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 3, Lesson 15

Comparing Data Sets

$Course Icon$

Integrated Math 1

Practice

Problem 1
Student Task Statement
Twenty students participated in a psychology experiment that measured their heart rates in two different situations.

What are the appropriate measures of center and variability to use with the data? Explain your reasoning.

Which situation shows a greater typical heart rate?

Which situation shows greater variability?

to access Practice Problem Solutions.

Problem 2

Student Task Statement

Invent two situations that you think would result in distributions with similar measures of variability. Explain your reasoning.
Invent two situations that you think would result in distributions with different measures of variability. Explain your reasoning.

to access Practice Problem Solutions.

Problem 3

Student Task Statement

The data set and some summary statistics are listed.

11.5
12.3
13.5
15.6
16.7
17.2
18.4
19
19.5
21.5

mean: 16.52
median: 16.95
standard deviation: 3.11
IQR: 5.5

How does adding 5 to each of the values in the data set affect the shape of the distribution?
How does adding 5 to each of the values in the data set affect the measures of center?
How does adding 5 to each of the values in the data set affect the measures of variability?

to access Practice Problem Solutions.

Problem 4

Student Task Statement

Here are two box plots:

<p>Box plot from 95 to 115 by 5’s. Box plot A. Whisker from 98 to 100. Box from 100 to 109 with vertical line at 105. Whisker from 109 to 115.</p>

<p>Box plot from 95 to 115 by 5’s. Box plot B. Whisker from 96 to 99. Box from 99 to 111 with vertical line at 103. Whisker from 111 to 113.</p>

Which box plot has a greater median?
Which box plot has a greater measure of variability?

to access Practice Problem Solutions.

Problem 5

ForLesson 13: More Standard Deviation

Student Task Statement

The depth of two lakes is measured at multiple spots. For the first lake, the mean depth is about 45 feet with a standard deviation of 8 feet. For the second lake, the mean depth is about 60 feet with a standard deviation of 27 feet.

Noah says the second lake is generally deeper than the first lake. Do you agree with Noah?

to access Practice Problem Solutions.

Problem 6

ForLesson 12: Standard Deviation

Student Task Statement

The dot plots display the height, rounded to the nearest foot, of maple trees from two different tree farms.

<p>Dot plot from 3 to 14 by 1's. Height in feet. Beginning at 3, number of dots above each increment is 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0.</p>

<p>Dot plot from 3 to 14 by 1's. Height in feet. Beginning at 3, number of dots above each increment is 0, 1, 0, 2, 0, 3, 0, 2, 0, 1, 0, 0.</p>

Compare the mean and standard deviation of the two data sets.
What does the standard deviation tell you about the trees at these farms?

to access Practice Problem Solutions.

Problem 7

ForLesson 11: Comparing and Contrasting Data Distributions

Student Task Statement

Which box plot has an IQR of 10?

to access Practice Problem Solutions.

Problem 8

ForLesson 9: Technological Graphing

Student Task Statement

What effect does eliminating the lowest value, -6, from the data set have on the mean and median?

-6
3
3
3
3
5
6
6
8
10

to access Practice Problem Solutions.

Problem 9

ForLesson 7: Angle-Side-Angle Triangle Congruence

Student Task Statement

Mai wrote a proof that triangle is congruent to triangle . Mai's proof is incomplete. How can Mai fix her proof?

We know side is congruent to side and angle is congruent to angle . By the Angle-Side-Angle Triangle Congruence Theorem, triangle is congruent to triangle .

<p>Triangles ADE and CBE meet only at point E. Angles A and C are congruent. Sides AE and CE are congruent.</p>

to access Practice Problem Solutions.

Lesson 15 Resources

Student Materials Student Materials in Spanish