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(1) Compare the three data sets on the right. (ii) (iii) 8 9 101112 6789 101112 (a) Which data set has the greatest sample standard deviation? O A. Data set (iii), because it has more entries that are farther away from the mean. O B. Data set (i), because it has more entries that are close to the mean. OC. Data set (ii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? O A. Data set (ii), because it has more entries that are farther away from the mean. O B. Data set (ii), because it has less entries that are farther away from the mean. O C. Data set (i), because it has more entries that are close to the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mean and mode but have different medians and standard deviations. O B. The three data sets have the same standard deviations but have different means. O C. The three data sets have the same mode but have different standard deviations and means. O D. The three data sets have the same mean, median and mode but have different standard deviations.

(1) Compare the three data sets on the right. (ii) (iii) 8 9 101112 6789 101112 (a) Which data set has the greatest sample standard deviation? O A. Data set (iii), because it has more entries that are farther away from the mean. O B. Data set (i), because it has more entries that are close to the mean. OC. Data set (ii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? O A. Data set (ii), because it has more entries that are farther away from the mean. O B. Data set (ii), because it has less entries that are farther away from the mean. O C. Data set (i), because it has more entries that are close to the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mean and mode but have different medians and standard deviations. O B. The three data sets have the same standard deviations but have different means. O C. The three data sets have the same mode but have different standard deviations and means. O D. The three data sets have the same mean, median and mode but have different standard deviations.

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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Compare the (i) (ii) (iii) three data sets on the right. 6 7 8 9 101112 6 7 8 9 101112 6 7 8 9 101112 ..... (a) Which data set has the greatest sample standard deviation? O A. Data set (iii), because it has more entries that are farther away from the mean. B. Data set (i), because it has more entries that are close to the mean. C. Data set (ii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? A. Data set (iii), because it has more entries that are farther away from the mean. B. Data set (ii), because it has less entries that are farther away from the mean. C. Data set (i), because it has more entries that are close to the mean. (b) How are the data sets the same? How do they differ? A. The three data sets have the same mean and mode but have different medians and standard deviations. B. The three data sets have the same standard deviations but have different means. C. The three data sets have the same mode but have different standard deviations and means. D. The three data sets have the same mean, median and mode but have different standard deviations.
Transcribed Image Text:Compare the (i) (ii) (iii) three data sets on the right. 6 7 8 9 101112 6 7 8 9 101112 6 7 8 9 101112 ..... (a) Which data set has the greatest sample standard deviation? O A. Data set (iii), because it has more entries that are farther away from the mean. B. Data set (i), because it has more entries that are close to the mean. C. Data set (ii), because it has two entries that are far away from the mean. Which data set has the least sample standard deviation? A. Data set (iii), because it has more entries that are farther away from the mean. B. Data set (ii), because it has less entries that are farther away from the mean. C. Data set (i), because it has more entries that are close to the mean. (b) How are the data sets the same? How do they differ? A. The three data sets have the same mean and mode but have different medians and standard deviations. B. The three data sets have the same standard deviations but have different means. C. The three data sets have the same mode but have different standard deviations and means. D. The three data sets have the same mean, median and mode but have different standard deviations.
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