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SecTIoN 1c Exercises 39
Displaying Quantitative Data: Dotplots (a) The dot above −3 is for the Toyota Prius. Explain what
3. Women’s soccer How good was the 2019 U.S. this dot represents.
pg 23 women’s soccer team? With players like Carli Lloyd, (b) What does the graph tell us about fuel economy in the
Alex Morgan, and Megan Rapinoe, the team put on city versus on the highway for these car models? Be
an impressive showing en route to winning the 2019 specific.
Women’s World Cup. Here are data on the number of
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goals scored by the team in games played in the 2019 Describing Shape
season: 40 7. Getting older and random digits
pg 25
1 1 2 2 1 5 6 3 5 3 13 3 2 2 2 2 2 3 4 3 2 1 3 6 (a) How old is the oldest person you know? Prudential
(a) Make a dotplot of these data. Insurance Company asked 400 people to place a
blue sticker on a huge wall next to the age of the
(b) In what proportion of games did the team score 4 or oldest person they have ever known. An image of
more goals? the graph is shown here. Describe the shape of the
4. Fuel efficiency The Environmental Protection distribution.
Agency (EPA) is in charge of determining and
reporting fuel economy ratings for cars. Here are the
EPA estimates of highway gas mileage in miles per
gallon (mpg) for a sample of 21 model-year 2022
midsize cars: 41
25 30 27 31 38 26 28 40 25 28 30
31 30 30 34 30 31 31 32 48 31
(a) Make a dotplot of these data.
(b) What percentage of the car models in the sample get
more than 35 mpg on the highway? (b) The dotplot displays the results of using a random
number generator to produce 100 digits between 0 and
5. More women’s soccer The following dotplot shows 9, inclusive. Describe the shape of the distribution.
the difference in the number of goals scored (U.S.
women’s team − Opponent) in each game from
Exercise 3.
–2 0 2 4 6 8 10 12 14 0 1 2 3 4 5 6 7 8 9
Difference in goals (U.S. team – Opponent) Random integer
8. Roll the dice and family ages
(a) Explain what the dot above 2 represents.
−
(a) The dotplot shows the results of rolling a pair of fair,
(b) What does the graph tell us about how well the team six-sided dice and finding the sum of the up-faces 100
did in 2019? Be specific. times. Describe the shape of the distribution.
6. Better fuel efficiency The following dotplot shows the
difference in EPA mileage ratings (Highway − City)
for each of the 21 model-year 2022 midsize cars from
Exercise 4.
–4 –2 0 2 4 6 8 10 12 14
Difference in gas mileage (Highway – City) 2 3 4 5 6 7 8 9 10 11 12
Sum of the up-faces on a pair of dice
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