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AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 13 Statistics Copyright © 2009 Pearson Education, Inc. Slide 13 - 1 For the set of data 12, 13, 15, 15, 16, 19 determine the mean. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 2 For the set of data 12, 13, 15, 15, 16, 19 determine the mean. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 3 For the set of data 12, 13, 15, 15, 16, 19 determine the mode. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 4 For the set of data 12, 13, 15, 15, 16, 19 determine the mode. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 5 For the set of data 12, 13, 15, 15, 16, 19 determine the median. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 6 For the set of data 12, 13, 15, 15, 16, 19 determine the median. a. 13 b. 14 c. 15 d. 16 Copyright © 2009 Pearson Education, Inc. Slide 13 - 7 For the set of data 12, 13, 15, 15, 16, 19 determine the range. a. 31 b. 15.5 c. 10 d. 7 Copyright © 2009 Pearson Education, Inc. Slide 13 - 8 For the set of data 12, 13, 15, 15, 16, 19 determine the range. a. 31 b. 15.5 c. 10 d. 7 Copyright © 2009 Pearson Education, Inc. Slide 13 - 9 For the set of data 12, 13, 15, 15, 16, 19 determine the midrange. a. 31 b. 15.5 c. 10 d. 7 Copyright © 2009 Pearson Education, Inc. Slide 13 - 10 For the set of data 12, 13, 15, 15, 16, 19 determine the midrange. a. 31 b. 15.5 c. 10 d. 7 Copyright © 2009 Pearson Education, Inc. Slide 13 - 11 For the set of data 12, 13, 15, 15, 16, 19 determine the midrange. a. 6 2.45 b. 5 2.24 c. 2 1.414 d. 1.67 1.29 Copyright © 2009 Pearson Education, Inc. Slide 13 - 12 For the set of data 12, 13, 15, 15, 16, 19 determine the midrange. a. 6 2.45 b. 5 2.24 c. 2 1.414 d. 1.67 1.29 Copyright © 2009 Pearson Education, Inc. Slide 13 - 13 Construct a frequency of distribution; let the first class be 10 - 19. a. Class Freq b. Class Freq c. Class Freq d. Class Freq 10-19 20-29 30-39 40-49 50-59 60-69 4 5 4 5 6 6 10-19 5 20-29 4 30-39 5 40-49 4 50-59 6 60-69 6 10-19 3 20-29 6 30-39 6 40-49 6 50-59 5 60-69 4 10-19 20-29 30-39 40-49 50-59 60-69 6 5 4 5 6 4 Copyright © 2009 Pearson Education, Inc. Slide 13 - 14 Construct a frequency of distribution; let the first class be 10 - 19. a. Class Freq b. Class Freq c. Class Freq d. Class Freq 10-19 20-29 30-39 40-49 50-59 60-69 4 5 4 5 6 6 10-19 5 20-29 4 30-39 5 40-49 4 50-59 6 60-69 6 10-19 3 20-29 6 30-39 6 40-49 6 50-59 5 60-69 4 10-19 20-29 30-39 40-49 50-59 60-69 6 5 4 5 6 4 Copyright © 2009 Pearson Education, Inc. Slide 13 - 15 Construct a histogram of the frequency distribution. 20-29 30-39 40-49 50-59 60-69 Freq 4 5 4 5 6 6 b. Frequency 10-19 Frequency a. Class d. Frequency c. Class Class Copyright © 2009 Pearson Education, Inc. Frequency Class Class Slide 13 - 16 Construct a histogram of the frequency distribution. 20-29 30-39 40-49 50-59 60-69 Freq 4 5 4 5 6 6 b. Frequency 10-19 Frequency a. Class d. Frequency c. Class Class Copyright © 2009 Pearson Education, Inc. Frequency Class Class Slide 13 - 17 Construct a frequency polygon of the distribution. 20-29 30-39 40-49 50-59 60-69 Freq 4 5 4 5 6 6 b. Frequency 10-19 Frequency a. Class d. Frequency c. Class Class Copyright © 2009 Pearson Education, Inc. Frequency Class Class Slide 13 - 18 Construct a frequency polygon of the distribution. 20-29 30-39 40-49 50-59 60-69 Freq 4 5 4 5 6 6 b. Frequency 10-19 Frequency a. Class d. Frequency c. Class Class Copyright © 2009 Pearson Education, Inc. Frequency Class Class Slide 13 - 19 Use the following data on the number of points scored in the Bay High School basketball games. What is the most common score? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 68 b. 70 Copyright © 2009 Pearson Education, Inc. c. 72 d. 75 Slide 13 - 20 Use the following data on the number of points scored in the Bay High School basketball games. What is the most common score? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 68 b. 70 Copyright © 2009 Pearson Education, Inc. c. 72 d. 75 Slide 13 - 21 Use the following data on the number of points scored in the Bay High School basketball games. What score do half of the games exceed? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 68 b. 70 Copyright © 2009 Pearson Education, Inc. c. 72 d. 75 Slide 13 - 22 Use the following data on the number of points scored in the Bay High School basketball games. What score do half of the games exceed? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 68 b. 70 Copyright © 2009 Pearson Education, Inc. c. 72 d. 75 Slide 13 - 23 Use the following data on the number of points scored in the Bay High School basketball games. About what percent of games have less than 75 points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 25% b. 50% Copyright © 2009 Pearson Education, Inc. c. 75% d. 92% Slide 13 - 24 Use the following data on the number of points scored in the Bay High School basketball games. About what percent of games have less than 75 points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 25% b. 50% Copyright © 2009 Pearson Education, Inc. c. 75% d. 92% Slide 13 - 25 Use the following data on the number of points scored in the Bay High School basketball games. About what percent of games have more than 88 points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 92% b. 75% Copyright © 2009 Pearson Education, Inc. c. 50% d. 8% Slide 13 - 26 Use the following data on the number of points scored in the Bay High School basketball games. About what percent of games have more than 88 points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 92% b. 75% Copyright © 2009 Pearson Education, Inc. c. 50% d. 8% Slide 13 - 27 Use the following data on the number of points scored in the Bay High School basketball games. If there are 20 games played throughout the season, what would be the total of all the points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 1360 b. 1400 Copyright © 2009 Pearson Education, Inc. c. 1440 d. 1500 Slide 13 - 28 Use the following data on the number of points scored in the Bay High School basketball games. If there are 20 games played throughout the season, what would be the total of all the points scored? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 1360 b. 1400 Copyright © 2009 Pearson Education, Inc. c. 1440 d. 1500 Slide 13 - 29 Use the following data on the number of points scored in the Bay High School basketball games. What score represents 1.5 standard deviations above the mean? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 83 b. 84.5 Copyright © 2009 Pearson Education, Inc. c. 86.5 d. 88.5 Slide 13 - 30 Use the following data on the number of points scored in the Bay High School basketball games. What score represents 1.5 standard deviations above the mean? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 83 b. 84.5 Copyright © 2009 Pearson Education, Inc. c. 86.5 d. 88.5 Slide 13 - 31 Use the following data on the number of points scored in the Bay High School basketball games. What score represents 1 standard deviation below the mean? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 61 b. 59 Copyright © 2009 Pearson Education, Inc. c. 57 d. 50 Slide 13 - 32 Use the following data on the number of points scored in the Bay High School basketball games. What score represents 1 standard deviation below the mean? Mean 72 First quartile 50 Median 68 Third quartile 75 Mode 70 92nd percentile 88 Standard Deviation 11 a. 61 b. 59 Copyright © 2009 Pearson Education, Inc. c. 57 d. 50 Slide 13 - 33 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are between 20 and 24? a. 79.7% b. 61.6% c. 29.7%% d. 18.1% Copyright © 2009 Pearson Education, Inc. Slide 13 - 34 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are between 20 and 24? a. 79.7% b. 61.6% c. 29.7%% d. 18.1% Copyright © 2009 Pearson Education, Inc. Slide 13 - 35 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are older than 23? a. 34.8% b. 39.1% c. 60.9% d. 65.2% Copyright © 2009 Pearson Education, Inc. Slide 13 - 36 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are older than 23? a. 34.8% b. 39.1% c. 60.9% d. 65.2% Copyright © 2009 Pearson Education, Inc. Slide 13 - 37 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are older than 20.5? a. 24.2% b. 69.6% c. 75.8% d. 30.4% Copyright © 2009 Pearson Education, Inc. Slide 13 - 38 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are older than 20.5? a. 24.2% b. 69.6% c. 75.8% d. 30.4% Copyright © 2009 Pearson Education, Inc. Slide 13 - 39 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are younger than 25.5? a. 6.9% b. 43.1% c. 75.8% d. 93.1% Copyright © 2009 Pearson Education, Inc. Slide 13 - 40 The average age of students at Tri-County Community College is normally distributed with a mean of 22.1 and a standard deviation of 2.3. What percent of students are younger than 25.5? a. 6.9% b. 43.1% c. 75.8% d. 93.1% Copyright © 2009 Pearson Education, Inc. Slide 13 - 41 The following chart shows the pounds of coffee brewed per day in different sized coffee shops. Size (in square yards) 30 Pounds of Coffee Brewed 5 44 9 57 18 66 23 106 31 Copyright © 2009 Pearson Education, Inc. Slide 13 - 42 Pounds of coffee brewed Here’s the scatter diagram for that data. Determine whether you believe that a correlation exists between the size of a coffee shop and the pounds of coffee brewed daily. Size (in square yards) a. Yes Copyright © 2009 Pearson Education, Inc. b. No c. Can’t determine Slide 13 - 43 Pounds of coffee brewed Here’s the scatter diagram for that data. Determine whether you believe that a correlation exists between the size of a coffee shop and the pounds of coffee brewed daily. Size (in square yards) a. Yes Copyright © 2009 Pearson Education, Inc. b. No c. Can’t determine Slide 13 - 44 Here’s the data, again. Determine the correlation coefficient between the size of a coffee shop and the pounds of coffee brewed daily. Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. ≈ 0.037 b. ≈ –0.963 c. ≈ 0.963 d. ≈ 0.927 Copyright © 2009 Pearson Education, Inc. Slide 13 - 45 Here’s the data again. Determine the correlation coefficient between the size of a coffee shop and the pounds of coffee brewed daily. Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. ≈ 0.037 b. ≈ –0.963 c. ≈ 0.963 d. ≈ 0.927 Copyright © 2009 Pearson Education, Inc. Slide 13 - 46 Here’s the data, again. Determine whether a correlation exists at 0.05. (Use r ≈ 0.963.) Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. Yes b. No c. Can’t determine Copyright © 2009 Pearson Education, Inc. Slide 13 - 47 Here’s the data, again. Determine whether a correlation exists at 0.05. (Use r ≈ 0.963.) Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. Yes b. No c. Can’t determine Copyright © 2009 Pearson Education, Inc. Slide 13 - 48 Here’s the data, again. Determine the equation of the line of best fit between size of a coffee shop and the pounds of coffee brewed daily. Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. y 4.01x 0.35 b. y 0.35x 4.01 c. y 0.35x 4.01 d. Copyright © 2009 Pearson Education, Inc. y 3.5x 4.01 Slide 13 - 49 Here’s the data, again. Determine the equation of the line of best fit between size of a coffee shop and the pounds of coffee brewed daily. Size 30 44 57 66 106 Pounds 5 9 18 23 31 a. y 4.01x 0.35 b. y 0.35x 4.01 c. y 0.35x 4.01 d. Copyright © 2009 Pearson Education, Inc. y 3.5x 4.01 Slide 13 - 50 Use the equation y = 0.35x – 4.01 to predict the pounds of coffee brewed daily in a coffee shop that is 95 square yards. a. 37.26 b. 33.25 c. 29.24 d. 25.23 Copyright © 2009 Pearson Education, Inc. Slide 13 - 51 Use the equation y = 0.35x – 4.01 to predict the pounds of coffee brewed daily in a coffee shop that is 95 square yards. a. 37.26 b. 33.25 c. 29.24 d. 25.23 Copyright © 2009 Pearson Education, Inc. Slide 13 - 52