9.| Critical Thinking Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (a) Without doing any computations, order the data sets according to increasing value of standard deviations. (b) Why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? Hint: Consider how much the data in the respective sets differ from the mean. (ii) 7 9 10 11 13 (iii) 7 8 10 12 13

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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9.| Critical Thinking Each of the following data sets has a mean of x = 10.
(i) 8 9 10 11 12
(a) Without doing any computations, order the data sets according to increasing
value of standard deviations.
(b) Why do you expect the difference in standard deviations between data sets
(i) and (ii) to be greater than the difference in standard deviations between
data sets (ii) and (iii)? Hint: Consider how much the data in the respective
sets differ from the mean.
(ii) 7 9 10 11 13
(iii) 7 8 10 12 13
Transcribed Image Text:9.| Critical Thinking Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (a) Without doing any computations, order the data sets according to increasing value of standard deviations. (b) Why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? Hint: Consider how much the data in the respective sets differ from the mean. (ii) 7 9 10 11 13 (iii) 7 8 10 12 13
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