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Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.

Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.
Transcribed Image Text:Show that the following equalities hold: a) Population varlance: b) Sample variance: n-1 n-1 n-1 c) Sum of differences from the population mean: E -4) = 0 If the standard deviation of a population is zero, what can you say about the members of tnat population? Explain. , The following scores represent the final examination grade for an elementary statistics course: 24 59 80 31 58 75 55 75 85 37 79 78 80 96 42 66 93 82 56 75 54 11 39 65 76 79 24 67 84 99 80 68 70 84 57 76 89 61 75 42 61 79 a) Construct a stem-and-leaf plot for the examination grades (Hint: Use 10 as stem units, 1 as leaf units.) b) Calculate relative frequencies. c) Construct a relative frequency histogram; draw an estimate of the graph of the distribution and discuss the skewness of the distribution. d) Compute the sample mean, sample median, and sample standard deviation.
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