In comparing variance and standard deviation which of the following statements is true? O a. Both variance and standard deviation amplify data values O b. Variance is preferred to standard deviation because it is not error-prone. O c. Variance and standard deviation both express an indication of dispersion but are used only for negative and positive data values, respectively. O d. Standard deviation is used to measure the difference between the maximum and minimum values in a dataset. O e. Standard deviation is preferred to variance because it can handle both very large and very small data values while variance tends to amplify especially large data values.

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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In comparing variance and standard deviation which of the following statements is true?
O a. Both variance and standard deviation amplify data values
Ob. Variance is preferred to standard deviation because it is not error-prone.
O c. Variance and standard deviation both express an indication of dispersion but are used only for negative and positive data values, respectively.
O d. Standard deviation is used to measure the difference between the maximum and minimum values in a dataset.
O e. Standard deviation is preferred to variance because it can handle both very large and very small data values while variance tends to amplify especially large data
values.
Transcribed Image Text:In comparing variance and standard deviation which of the following statements is true? O a. Both variance and standard deviation amplify data values Ob. Variance is preferred to standard deviation because it is not error-prone. O c. Variance and standard deviation both express an indication of dispersion but are used only for negative and positive data values, respectively. O d. Standard deviation is used to measure the difference between the maximum and minimum values in a dataset. O e. Standard deviation is preferred to variance because it can handle both very large and very small data values while variance tends to amplify especially large data values.
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