Lesson 5
Using Dot Plots to Answer Statistical Questions
Problem 1
Three sets of data about ten sixth-grade students were used to make three dot plots. The person who made these dot plots forgot to label them. Match each dot plot with the appropriate label.
![Three dot plots labeled A, B, C.](https://cms-im.s3.amazonaws.com/Ct786eNdxfHcEyfifaaCMhR6?response-content-disposition=inline%3B%20filename%3D%226.8.B.PP.Image.11smush.png%22%3B%20filename%2A%3DUTF-8%27%276.8.B.PP.Image.11smush.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T193025Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=b10bee4aab364512364fc5433fdf7af51415ba6dbc8d9d3ced3edaecd989e730)
Solution
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Problem 2
The dot plots show the time it takes to get to school for ten sixth-grade students from the United States, Canada, Australia, New Zealand, and South Africa.
![Five dot plots.](https://cms-im.s3.amazonaws.com/4y8FAw1BMz8ReDpZDyEXm6b8?response-content-disposition=inline%3B%20filename%3D%226-6.8.D.PP.Image.09.png%22%3B%20filename%2A%3DUTF-8%27%276-6.8.D.PP.Image.09.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T193025Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=31940b73341d93264f5e435d7f49000a115e181e5a2a99c36d607eeec2bda577)
- List the countries in order of typical travel times, from shortest to longest.
- List the countries in order of variability in travel times, from the least variability to the greatest.
Solution
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Problem 3
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses.
![A dot plot, importance of reducing pollution, 2 to 10 by ones. Beginning with 2, the number of dots above each increment is 1, 1, 1, 2, 2, 2, 5, 5, 6.](https://cms-im.s3.amazonaws.com/naPj9s7FFWsGRzJCB9HLCigZ?response-content-disposition=inline%3B%20filename%3D%226-6.8.B.PP.Image.10.png%22%3B%20filename%2A%3DUTF-8%27%276-6.8.B.PP.Image.10.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T193025Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=c7e8bcd32ba59a2ebbf59ab651f8b47965dcd730c42afb8f3cffb062a034fd12)
Explain why a rating of 6 is not a good description of the center of this data set.
Solution
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Problem 4
Tyler wants to buy some cherries at the farmer’s market. He has $10 and cherries cost $4 per pound.
- If \(c\) is the number of pounds of cherries that Tyler can buy, write one or more inequalities or equations describing \(c\).
- Can 2 be a value of \(c\)? Can 3 be a value of \(c\)? What about -1? Explain your reasoning.
- If \(m\) is the amount of money, in dollars, Tyler can spend, write one or more inequalities or equations describing \(m\).
- Can 8 be a value of \(m\)? Can 2 be a value of \(m\)? What about 10.5? Explain your reasoning.
Solution
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(From Unit 7, Lesson 10.)