SAT One-variable data: distributions and measures of center and spread Practice Question 10 (Easy) | SAT Owl

Question bank / One-variable data: distributions and measures of center and spread

Math · Problem-Solving and Data AnalysisEasy

Data set A consists of the values $2, 4, 6, 8, 10$ . Data set B consists of the values $4, 5, 6, 7, 8$ . Which of the following statements is true?

A

The data sets have different means and the same standard deviation.

B

Data set B has a greater mean than data set A.

C

The data sets have the same mean, and data set B has the greater standard deviation.

D

The data sets have the same mean, and data set A has the greater standard deviation.

Show answer and explanation

Answer: D

Both data sets have a mean of $6$ , since each is symmetric about $6$ . The values in A are farther from $6$ (up to $4$ units away) than the values in B (at most $2$ units away). So A has the greater standard deviation.

Choice C gets the means right but reverses which data set is more spread out.

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