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When a few data points are repeated in a data set, the results are often arrayed in a fre- quency table. For example, a quiz given to each of 25 students was graded on a four-point scale (0, 1, 2, 3), 3 being a perfect score. The results are as follows. Score (X) Frequency (F) Proportion (P) 3 16 .64 4 .16 1 2 .08 3 .12 a. Show how the average score can be calculated by using the frequencies. b. Show how the average score can be calculated by using the proportions. c. Calculate the standard deviation of these scores.

When a few data points are repeated in a data set, the results are often arrayed in a fre- quency table. For example, a quiz given to each of 25 students was graded on a four-point scale (0, 1, 2, 3), 3 being a perfect score. The results are as follows. Score (X) Frequency (F) Proportion (P) 3 16 .64 4 .16 1 2 .08 3 .12 a. Show how the average score can be calculated by using the frequencies. b. Show how the average score can be calculated by using the proportions. c. Calculate the standard deviation of these scores.

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 4BGP
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3.13 When a few data points are repeated in a data set, the results are often arrayed in a fre- quency table. For example, a quiz given to each of 25 students was graded on a four-point scale (0, 1, 2, 3), 3 being a perfect score. The results are as follows. Score (X) Frequency (F) Proportion (P) 3 16 .64 2 4 .16 1 2 .08 3 .12 a. Show how the average score can be calculated by using the frequencies. b. Show how the average score can be calculated by using the proportions. c. Calculate the standard deviation of these scores.
Transcribed Image Text:3.13 When a few data points are repeated in a data set, the results are often arrayed in a fre- quency table. For example, a quiz given to each of 25 students was graded on a four-point scale (0, 1, 2, 3), 3 being a perfect score. The results are as follows. Score (X) Frequency (F) Proportion (P) 3 16 .64 2 4 .16 1 2 .08 3 .12 a. Show how the average score can be calculated by using the frequencies. b. Show how the average score can be calculated by using the proportions. c. Calculate the standard deviation of these scores.
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