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Q. 9

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Pre-algebra

Found in: Page 623

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

The box-and-whisker plots below show the ages of the players on the New York Yankees and the Texas Rangers baseball teams during the 2002 season.
Compare the median, range, and interquartile range for the two teams.
About what percent of the Yankees are less than 31 years old? About what percent of the Rangers are less than 31 years old?
Which team would you say is the “older” team? Explain.

The median of New York Yankees is 31 and Texas Rangers baseball is 27.

The range of New York Yankees is 16 and Texas Rangers baseball is 17.

The interquartile range of New York Yankees is 5 and Texas Rangers baseball is 6.

50% are Yankees

75% are Rangers

Yankees is the older team.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part a. Step 1. Given Information.

The bar graph is shown below.

Step 2. Explanation.

Calculate the range, median, interquartile range.

Median of New York Yankees is 31.

Median of Texas Rangers baseball is 27.

Range of New York Yankees is $40 - 24 = 16$ .

Range of Texas Rangers baseball is $39 - 22 = 17$ .

Interquartile range of New York Yankees is $34.5 - 29.5 = 5$ .

Interquartile range Texas Rangers baseball $31 - 25 = 6$ .

Part b. Step 1. Given Information.

The bar graph is shown below.

Step 2. Explanation.

Find the percent at which Yankees and rangers are years old:

So,

Yankees are 50%.

Rangers are 75%.

Part c. Step 1. Given Information.

The bar graph is shown below.

Step 2. Explanation.

Since, Yankees is 31-year-old that’s why Yankees is the older team.

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