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(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 followwing summary

(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 followwing summary

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
Section10.4: Distributions Of Data
Problem 19PFA
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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):
Transcribed Image Text: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, 12% 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. (d) How many percent of the students have their grades within three standard deviations considering the actual data? Compare the determined percentage with Chebyshev's rule.
Transcribed Image Text:(c.1) arithmetic mean, 12% 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. (d) How many percent of the students have their grades within three standard deviations considering the actual data? Compare the determined percentage with Chebyshev's rule.
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