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Prealgebra

Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price

Chapter 12

More Statistics and Probability

Educators


Problem 1

Display each set of data in a stem-and-leaf plot.

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Problem 2

Display each set of data in a stem-and-leaf plot.

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Problem 3

Use the test score data shown at the right.
Find the lowest and highest scores.

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Problem 4

Use the test score data shown at the right.
What is the median score?

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Problem 5

Use the test score data shown at the right.
Write a statement that describes the data.

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Problem 6

Use the food data shown in the back-to-back stem-and-leaf plot.
What is the greatest number of fat grams in each sandwich?

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Problem 7

Use the food data shown in the back-to-back stem-and-leaf plot.
In general, which type of sandwich has a lower amount of fat? Explain.

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Problem 8

Display each set of data in a stem-and-leaf plot.

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Problem 9

Display each set of data in a stem-and-leaf plot.

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Problem 10

Display each set of data in a stem-and-leaf plot.
(TABLE CANT COPY)

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Problem 11

Display each set of data in a stem-and-leaf plot.

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Problem 12

Use the table shown.
Display the number of home runs in a stem-and-leaf plot.

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Problem 13

Use the table shown.
What is the most home runs hit between 1995 and $2005 ?$

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Problem 14

Use the table shown.
How many of the season leaders hit fewer than 50 home runs?

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Problem 15

Use the table shown.
What is the median number of home runs hit by a single season home run leader?

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Problem 16

Use the table shown.
Write a sentence that describes the data.

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Problem 17

Use the information shown in the back-to-back stem-and-leaf plot.
What is the greatest number of games won by a Big Ten Conference team?

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Problem 18

Use the information shown in the back-to-back stem-and-leaf plot.
What is the least number of games won by a Big East Conference team?

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Problem 19

Use the information shown in the back-to-back stem-and-leaf plot.
What is the least number of games won by a Big East Conference team?

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Problem 20

Use the information shown in the back-to-back stem-and-leaf plot.
Compare the median number of games won by each conference.

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Problem 21

Use the Internet, a newspaper, or another reference source to gather data about a topic that interests you. Make a stem-and-leaf plot of the data. Write a sentence that interprets the data.

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Problem 22

Tell whether each statement is sometimes, always, or never true.
A back-to-back stem-and-leaf plot has two sets of data.

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Problem 23

Tell whether each statement is sometimes, always, or never true.
A basic stem-and-leaf plot has two keys.

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Problem 24

Display each set of data in a stem-and-leaf plot.
Olympic Men's 400-m Hurdles Time $(s), 1900-2004$
$$\begin{array}{|llllll|} \hline 57.6 & 53.0 & 55.0 & 54.0 & 47.5 & 48.7 \\52.6 & 53.4 & 51.7 & 52.4 & 47.5 & 51.1 \\50.8 & 50.1 & 49.3 & 49.6 & 48.1 & 47.8 \\47.6 & 47.8 & 47.2 & 46.8 & 47.6 & \\\hline
\end{array}$$

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Problem 25

Display each set of data in a stem-and-leaf plot.
Heights (ft) of Tallest Buildings in Miami, Florida
$$\begin{array}{|llllll|}\hline 789 & 435 & 625 & 559 & 487 & 792 \\510 & 480 & 460 & 484 & 450 & 500 \\520 & 764 & 559 & 492 & 474 & 484 \\\hline\end{array}$$

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Problem 26

Display the foot lengths, in inches, of the students in your class in a stem-and-leaf plot. Then write a few sentences that analyze the data.

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Problem 27

Suppose you have a frequency table and a stem-and-leaf plot that display the same data.
For which display is it easier to find the median? Explain.

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Problem 28

Suppose you have a frequency table and a stem-and-leaf plot that display the same data.
For which display is it easier to find the mean? Explain.

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Problem 29

Suppose you have a frequency table and a stem-and-leaf plot that display the same data.
For which display is it easier to find the mode? Explain.

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Problem 30

The stem-and-leaf plot shows the heights of students in an eighth-grade class. Janice says that the number of students in the class is $61-46,$ or $15 .$ Kirk says that the number of students in the class is the number of leaves, or $25 .$ Who is correct? Explain your reasoning.
(TABLE CANT COPY)

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Problem 31

Use the data about the Electoral College on page 626 to explain how stem-and-leaf plots can help you understand an election. Include a stem-and-leaf plot and an explanation telling how a presidential candidate might use the display.

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Problem 32

The back-to-back stem-and-leaf plot shows the amount of protein in certain foods.
Which of the following is a true statement?
A The median amount of protein in dairy products is 9 grams.
B The difference between the greatest and least amount of protein in dairy products is 28 grams.
C The average amount of protein in legumes, nuts, and seeds is more than the average amount in dairy products.
D The greatest amount of protein in legumes, nuts, and seeds is 93 grams.

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Problem 33

Determine whether a cone with a height 14 centimeters and radius 8 centimeters is similar to a cone with a height of 12 centimeters and a radius of 6 centimeters.

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Problem 34

Find the surface area of each solid. Round to the nearest tenth, if necessary.

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Problem 35

Find the surface area of each solid. Round to the nearest tenth, if necessary.

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Problem 36

Find the surface area of each solid. Round to the nearest tenth, if necessary.

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Problem 37

At the same time a 40-foot silo casts a 22-foot shadow, a fence casts a $3.3 \text { -foot shadow. Find the height of the fence.

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Problem 38

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$0.36$$

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Problem 39

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$2.47$$

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Problem 40

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$0.019$$

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Problem 41

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$0.0065$$

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Problem 42

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$\frac{6}{25}$$

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Problem 43

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$\frac{4}{7}$$

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Problem 44

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$\frac{15}{8}$$

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Problem 45

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary.
$$\frac{24}{1500}$$

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Problem 46

The perimeter of a rectangular window in an office building is 204 inches. The length is 6 inches less than twice the width. Find its length.

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Problem 47

Find the median for each set of data. Round to the nearest tenth, if necessary.
$$23,45,21,35,28$$

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Problem 48

Find the median for each set of data. Round to the nearest tenth, if necessary.
$$78,54,50,64,39,45$$

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Problem 49

Find the median for each set of data. Round to the nearest tenth, if necessary.
$$0.4,1.3,0.8,1.8$$

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