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Statistics Review MGF 1106 Fall 2011 Determine the following for the data listed above: Mean a) 25.5, 25, 51, 25, 26 Mode Range Median Midrange b) 26, 51, 25.5, 25, 11 c) 26, 25, 11, 25, 25.5 d) 26, 11, 25, 25, 25.5 What is the standard deviation for the data above? a) 26 b) 4.24 c) 18 d) 3.96 Use the set of data to construct a frequency of distribution; let the first class be 5-10. A. B. C. D. Class Freq. Class Freq. Class Freq. Class Freq. 5-10 6 5-10 6 5-10 6 5-10 6 11-16 6 10-15 6 11-16 6 11-16 6 17-22 4 15-20 5 17-22 5 17-22 4 23-28 6 20-25 5 23-28 5 23-28 6 29-34 5 25-30 6 29-34 6 29-34 5 35-37 3 30-37 7 35-40 7 35-40 3 Use the set of data to construct a histogram of the frequency of distribution. A. B. 6 4 2 6 4 2 4 2 0 7.5 13.5 19.5 25.5 31.5 37.5 0 6 7.5 13.5 19.5 25.5 31.5 37.5 0 8 Frequency Frequency 8 7.5 13.5 19.5 25.5 31.5 37.5 Frequency 8 C. Scores Scores Scores Use the set of data to construct a frequency polygon of the frequency of distribution. A. B. 2 0 Scores 4 2 0 6 4 2 0 5-10 10-15 15-20 20-25 25-30 35-40 4 6 5-10 11-16 17-22 23-28 29-34 35-40 Frequency 6 8 Frequency 8 7.5 13.5 19.5 25.5 31.5 37.5 Frequency 8 C. Scores Scores The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 What is the most common score? a) 81 b) 83 c) 80 d) 95 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 What score did half of the students exceed? a) 81 b) 83 c) 80 d) 95 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 About what percent of students’ grades exceeded 89? a) 25 b) 50 c) 75 d) 100 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 About what percent of students’ grades were less than 95? a) 5 b) 90 c) 60 d) 95 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 If there are 100 students enrolled in Algebra II, what would be the total of all the scores? a) 81 b) 8300 c) 8100 d) 8000 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 What test score represents one standard deviation above the mean? a) 81 b) 90 c) 9 d) 72 The following data represents Algebra II test scores. Mean 81 First Quartile 60 Median 83 Third Quartile 89 Mode 80 90th Percentile 95 Standard Deviation 9 What test score represents 1.5 standard deviations below the mean? a) 81 b) 90 c) 67.5 d) 72.5 What percent of cups of coffee sold were between $1.75 and $2.15? a) 16% b) 78% c) 61% d) 95% What percent of cups of coffee were sold for greater than $1.50? a) 98% b) 2% c) 20% d) 47% What percent of cups of coffee were sold for greater than $2.00? a) 55% b) 1% c) 45% d) 3% What percent of cups of coffee were sold for less than $2.00? a) 84% b) 10% c) 16% d) 90%