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SecTIoN 1c Exercises 41

Parallel dotplots of the two groups’ creativity scores are (b) The advertised weight of a Snickers Fun Size bar is

shown here. 17 grams. What percentage of candy bars in this sam-
ple weigh less than advertised?
External (E) 18. Eat your beans! Beans and other legumes are a great
source of protein. The following data give the protein
Reward content of 30 different varieties of beans, in grams per
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46
100 grams of cooked beans.
Internal (I) 7.5 8.2 8.9 9.3 7.1 8.3 8.7 9.5 8.2 9.1

0 5 10 15 20 25 30 9.0 9.0 9.7 9.2 8.9 8.1 9.0 7.8 8.0 7.8
7.0
7.5 13.5 8.3
8.1
6.8 10.6 8.3
7.6
7.7
Average rating
(a) Make a stemplot of these data. What interesting feature

(a) Is the variability in creativity scores similar or different does the graph reveal?

for the two groups? Justify your answer.
(b) What proportion of these bean varieties contain more

(b) Do the data suggest that external rewards promote cre- than 9 grams of protein per 100 grams of cooked beans?
ativity? Justify your answer.
19. South Carolina counties Here is a stemplot of the
16. Healthy cereal? Researchers collected data on 76 areas of the 46 counties in South Carolina. Note that
45
brands of cereal at a local supermarket. For each the data have been rounded to the nearest 10 square
2
brand, the sugar content (grams per serving) and the miles ( mi ).

shelf in the store on which the cereal was located (1 =

bottom, 2 = middle, 3 = top) were recorded. Here are 3 9999
parallel dotplots of the data: 4 0116689
5 01115566778
6 47899
7 01245579
8 0011 Key: 6|4 represents
3 9 13 a county with an area
10 8 of 635 to 644.99
Shelf 11 233 square miles.
2
12
2

(a) What is the area of the largest South Carolina county?

(b) Describe the distribution of area for the 46 South
1
Carolina counties.
0 2 4 6 8 10 12 14 16
Sugar content (grams per serving) 20. Shopping spree The stemplot displays data on the
amount spent by 50 shoppers at a grocery store. Note
(a) Is the variability in sugar content of the cereals on the that the values have been rounded to the nearest dollar.

three shelves similar or different? Justify your answer.
0 399

(b) Critics claim that supermarkets tend to put sugary cere- 1 1345677889
als on the middle shelf, where kids can better see them. 2 000123455668888
Do the data from this study support this claim? Justify 3 25699
your answer. 4 1345579
5 0359
Displaying Quantitative Data: Stemplots 6 1 Key: 9|3 5 $92.50
7 0 to $93.49 spent
®
17. Snickers are fun! Here are the weights (in grams) 8 366
pg 30 of 17 Snickers Fun Size bars from a single bag: 9 3
17.1 17.4 16.6 17.4 17.7 17.1 17.3 17.7 17.8
19.2 16.0 15.9 16.5 16.8 16.5 17.1 16.7 (a) What was the smallest amount spent by any of the

(a) Make a stemplot of these data. What interesting feature shoppers?

does the graph reveal? (b) Describe the distribution of amount spent by these 50

shoppers.
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