# Lesson 5

Using Dot Plots to Answer Statistical Questions

Let's use dot plots to describe distributions and answer 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.

### 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.

- 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.

### 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.

Explain why a rating of 6 is *not* a good description of the center of this data set.

### 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.