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Please help, Thankyou The following scores represent the final examination grades for an elementary statistics course (treated as population): 23 60 179 32 57 174

Please help, Thankyou

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The following scores represent the final examination grades for an elementary statistics course (treated as population): 23 60 179 32 57 174 52 70 82 36 180 77 81 95 41 65 92 85 55 76 52 10 164 75 178 25 80 98 81 67 41 71 83 54 64 172 88 6 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 2nd coefficient of skewness. (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 (e) Determine the z-score of the lowest and the highest grades among the population

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