Which of the following is NOT a property of the standard deviation? Choose the correct answer below.

A. The value of the standard deviation is never negative.

B. When comparing variation in samples with very different means, it is good practice to compare the two sample standard deviations.

C. The units of the standard deviation are the same as the units of the original data.

D. The standard deviation is a measure of variation of all data values from the mean.

Question

Mathematics

Jaylah Petersen

9 February, 03:36

Which of the following is NOT a property of the standard deviation? Choose the correct answer below.

A. The value of the standard deviation is never negative.

B. When comparing variation in samples with very different means, it is good practice to compare the two sample standard deviations.

C. The units of the standard deviation are the same as the units of the original data.

D. The standard deviation is a measure of variation of all data values from the mean.

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Answers (1)

Know the Answer?

Anabella Rodgers · Answer 1

B. When comparing variation in samples with very different means, it is good practice to compare the two sample standard deviations.

Step-by-step explanation:

It cannot be option A because when calculating the standard deviation because whenever you square something you get a non-negative number so this is a property of standard deviation.

It cannot be C because you are using the units of the original data to calculate the standard deviation.

It cannot be D because the standard deviation is a measure of variation of all the data from the mean.