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Problem-Solving and Data Analysis / One-variable data: Distributions and measures of center and spread Difficulty: Easy

$2$ , $9$ , $14$ , $23$ , $32$

What is the mean of the data shown?

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Explanation

Choice B is correct. The mean of a set of data values is the sum of all the data values divided by the number of data values in the set. The sum of the data values shown is $2 + 9 + 14 + 23 + 32$ , or $80$ . Since there are $5$ data values in the set, the mean of the data shown is $StartFraction 80 Over 5 EndFraction$ , or $16$ .

Choice A is incorrect. This is the median, not the mean, of the data shown.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the maximum, not the mean, of the data shown.