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34. A sample of 10 NCAA college basketball game scores provided the following data (USA Today, January 26, 2004). Winning Margin Winning Team Points Losing Team Points Arizona Oregon Georgetown Wake Forest Colorado Notre Dame Tennessee Texas 90 66 24 Duke 85 75 66 Florida State Kansas 19 5 21 70 57 63 62 66 78 71 Kentucky Louisville Oklahoma State 8 65 72 6. 3.4 Exploratory Data Analysis 109 Winning Margin Winning Team Points Losing Team Points Michigan State Southern Cal Purdue 76 70 6. Stanford Wisconsin 77 67 10 76 Illinois 56 20 a. Compute the mean and standard deviation for the points scored by the winning team. b. Assume that the points scored by the winning teams for all NCAA games follow a bell-shaped distribution. Using the mean and standard deviation found in part (a), estimate the percentage of all NCAA games in which the winning team scores 84 or more points. Estimate the percentage of NCAA games in which the winning team scores more than 90 points. c. Compute the mean and standard deviation for the winning margin. Do the data con- tain outliers? Explain.

34. A sample of 10 NCAA college basketball game scores provided the following data (USA Today, January 26, 2004). Winning Margin Winning Team Points Losing Team Points Arizona Oregon Georgetown Wake Forest Colorado Notre Dame Tennessee Texas 90 66 24 Duke 85 75 66 Florida State Kansas 19 5 21 70 57 63 62 66 78 71 Kentucky Louisville Oklahoma State 8 65 72 6. 3.4 Exploratory Data Analysis 109 Winning Margin Winning Team Points Losing Team Points Michigan State Southern Cal Purdue 76 70 6. Stanford Wisconsin 77 67 10 76 Illinois 56 20 a. Compute the mean and standard deviation for the points scored by the winning team. b. Assume that the points scored by the winning teams for all NCAA games follow a bell-shaped distribution. Using the mean and standard deviation found in part (a), estimate the percentage of all NCAA games in which the winning team scores 84 or more points. Estimate the percentage of NCAA games in which the winning team scores more than 90 points. c. Compute the mean and standard deviation for the winning margin. Do the data con- tain outliers? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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34. A sample of 10 NCAA college basketball game scores provided the following data (USA Today, January 26, 2004). Winning Margin Winning Team Points Losing Team Points Arizona 90 Oregon 66 24 Georgetown Wake Forest Duke 85 66 19 ile Florida State 75 70 5 21 Kansas 78 Colorado 57 Kentucky Louisville 71 Notre Dame 63 8 NCAA 65 Tennessee 62 Oklahoma State 72 Техas 66 3.4 Exploratory Data Analysis 109 Winning Margin Winning Team Points Losing Team Points Michigan State Southern Cal Purdue 76 70 Stanford 77 67 10 Wisconsin 76 Illinois 56 20 a. Compute the mean and standard deviation for the points scored by the winning team. b. Assume that the points scored by the winning teams for all NCAA games follow a bell-shaped distribution. Using the mean and standard deviation found in part (a), estimate the percentage of all NCAA games in which the winning team scores 84 or more points. Estimate the percentage of NCAA games in which the winning team scores more than 90 points. c. Compute the mean and standard deviation for the winning margin. Do the data con- tain outliers? Explain.
Transcribed Image Text:34. A sample of 10 NCAA college basketball game scores provided the following data (USA Today, January 26, 2004). Winning Margin Winning Team Points Losing Team Points Arizona 90 Oregon 66 24 Georgetown Wake Forest Duke 85 66 19 ile Florida State 75 70 5 21 Kansas 78 Colorado 57 Kentucky Louisville 71 Notre Dame 63 8 NCAA 65 Tennessee 62 Oklahoma State 72 Техas 66 3.4 Exploratory Data Analysis 109 Winning Margin Winning Team Points Losing Team Points Michigan State Southern Cal Purdue 76 70 Stanford 77 67 10 Wisconsin 76 Illinois 56 20 a. Compute the mean and standard deviation for the points scored by the winning team. b. Assume that the points scored by the winning teams for all NCAA games follow a bell-shaped distribution. Using the mean and standard deviation found in part (a), estimate the percentage of all NCAA games in which the winning team scores 84 or more points. Estimate the percentage of NCAA games in which the winning team scores more than 90 points. c. Compute the mean and standard deviation for the winning margin. Do the data con- tain outliers? Explain.
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