Lesson 4
Dot Plots
Problem 1
Clare recorded the amounts of time spent doing homework, in hours per week, by students in sixth, eighth, and tenth grades. She made a dot plot of the data for each grade and provided the following summary.
- Students in sixth grade tend to spend less time on homework than students in eighth and tenth grades.
-
The homework times for the tenth-grade students are more alike than the homework times for the eighth-grade students.
Use Clare's summary to match each dot plot to the correct grade (sixth, eighth, or tenth).
![Three dot plots, time in hours, 10 to 22 by ones.](https://staging-cms-im.s3.amazonaws.com/UzTMEF6o2cHxVZmqcPhaVFf8?response-content-disposition=inline%3B%20filename%3D%226-6.8.B.PP.Image.08smush.png%22%3B%20filename%2A%3DUTF-8%27%276-6.8.B.PP.Image.08smush.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T072146Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=20c29193518d708715f64d31fd217c352348751738197c32145f01b20a3934be)
Solution
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Problem 2
Mai played 10 basketball games. She recorded the number of points she scored and made a dot plot. Mai said that she scored between 8 and 14 points in most of the 10 games, but one game was exceptional. During that game she scored more than double her typical score of 9 points. Use the number line to make a dot plot that fits the description Mai gave.
![A blank dot plot for "points" with the numbers 8 through 22, in increments of 2, indicated.](https://staging-cms-im.s3.amazonaws.com/KmNsaWta3RFQqxE1tPLukHgc?response-content-disposition=inline%3B%20filename%3D%226-6.8.B.PP.Image.07a.png%22%3B%20filename%2A%3DUTF-8%27%276-6.8.B.PP.Image.07a.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T072146Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=31eb4bbfed3da46465ab883ef66edf743510aeace48b2ee62c7a9cad5e00b74a)
Solution
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Problem 3
A movie theater is showing three different movies. The dot plots represent the ages of the people who were at the Saturday afternoon showing of each of these movies.
![Three dot plots from 0 to 55 by 1’s. Age. Plots labeled moive A, movie B, and movie C.](https://staging-cms-im.s3.amazonaws.com/sYZU8hP67WJaC3j6DvgiNo1w?response-content-disposition=inline%3B%20filename%3D%226-6.8.PP.A1.Image.124.png%22%3B%20filename%2A%3DUTF-8%27%276-6.8.PP.A1.Image.124.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T072146Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e534f6de4351b60a1ced6f7876c70d7efa1d377c76e54940141fefa2ecd8025b)
- One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C? Explain your reasoning.
- Which movie has a dot plot with ages that that center at about 30 years?
- What is a typical age for the people who were at Movie A?
Solution
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Problem 4
Find the value of each expression.
- \(3.727 + 1.384\)
- \(3.727 - 1.384\)
- \(5.01 \boldcdot 4.8\)
- \(5.01 \div 4.8\)
Solution
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(From Unit 5, Lesson 13.)