Stats: Data and Models (3rd Edition)

Published by Pearson
ISBN 10: 0321692551
ISBN 13: 978-0-32169-255-9

Chapter 4 - Displaying and Summarizing Quantitative Data - Exercises: 13

Answer

a) Arranging the data in ascending order, we find that the middle value is 45, so the median = 45 points b) $Q_{1}$ is 25% of the data, which is 11th value; thus $Q_{1}$ = 37 points $Q_{3}$ is 75% of the data, which is 33rd value; thus $Q_{3} $= 55 points c) In the Super Bowl, teams score about 45 points on average, and half of the scores are between 37 and 55 points. In a quarter of the games, the score is less than 37 points, and the maximum total is 75.

Work Step by Step

a) Arranging the data in ascending order, we find that the middle value is 45, so the median = 45 points b) $Q_{1}$ is 25% of the data, which is 11th value; thus $Q_{1}$ = 37 points $Q_{3}$ is 75% of the data, which is 33rd value; thus $Q_{3} $= 55 points c) In the Super Bowl, teams score about 45 points on average, and half of the scores are between 37 and 55 points. In a quarter of the games, the score is less than 37 points, and the maximum total is 75.
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