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SITUATION 1 The following scores represent the final examination grades for an elementary statistics course (treated as population): 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b): (c.1) arithmetic mean, 8% trimmed mean, median, and mode (c.2) range, variance, standard deviation, and coefficient of variation (c.3) classification of data set in terms of its skewness and kurtosis. For skewness, use 1st coefficient of skewness.

SITUATION 1 The following scores represent the final examination grades for an elementary statistics course (treated as population): 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b): (c.1) arithmetic mean, 8% trimmed mean, median, and mode (c.2) range, variance, standard deviation, and coefficient of variation (c.3) classification of data set in terms of its skewness and kurtosis. For skewness, use 1st coefficient of skewness.

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 42PFA
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Joanime | Watch... JeonSoft ESS SITUATION 1 2021 2 The following scores represent the final examination grades for an elementary statistics course (treated as population): ats 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b): (c.1) arithmetic mean, 8% trimmed mean, median, and mode lealth (c.2) range, variance, standard deviation, and coefficient of variation = of 2. (c.3) classification of data set in terms of its skewness and kurtosis. For skewness, use 1st coefficient of skewness. NTS (d) How many percent of the students have their grades within two standard deviations considering the actual data? Compare the determined percentage with Chebyshev's rule. TO- (e) Determine the z-score of the second lowest and the second highest grades among the population. (f) What should be the minimum grade of the student in order for him/her to have a grade: (f.1) higher than 70% of the student population? (f.2) higher than 85% of the student population? (f.3) higher than 95% of the student population? Consider the frequency distribution from (b) for the calculations. O I CML
Transcribed Image Text:Joanime | Watch... JeonSoft ESS SITUATION 1 2021 2 The following scores represent the final examination grades for an elementary statistics course (treated as population): ats 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Construct a stem-and-leaf display representing the given data set. Use the tens digits for the stem. (b) Construct a frequency distribution table for the given data set. Use class size of 10 and start from 10 (i.e. 10-19, 20-29 etc.). (c) Determine the following summary measures considering the provided frequency distribution from (b): (c.1) arithmetic mean, 8% trimmed mean, median, and mode lealth (c.2) range, variance, standard deviation, and coefficient of variation = of 2. (c.3) classification of data set in terms of its skewness and kurtosis. For skewness, use 1st coefficient of skewness. NTS (d) How many percent of the students have their grades within two standard deviations considering the actual data? Compare the determined percentage with Chebyshev's rule. TO- (e) Determine the z-score of the second lowest and the second highest grades among the population. (f) What should be the minimum grade of the student in order for him/her to have a grade: (f.1) higher than 70% of the student population? (f.2) higher than 85% of the student population? (f.3) higher than 95% of the student population? Consider the frequency distribution from (b) for the calculations. O I CML
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