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One-variable data: Distributions and measures of center and spread SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

The figure presents a box plot titled “Acres of useful timberland.” The numbers 1,000 through 14,000, in increments of 1,000, are indicated on the horizontal axis. The data represented by the box plot are as follows. Note that all values are approximate. In the box plot, the left whisker extends from 1,100 to 4,500; the box extends from 4,500 to 10,500; a vertical line segment at 7,100 divides the box into 2 parts; and the right whisker extends from 10,500 to 13,300.

The number of acres of useful timberland in 13 counties in California is summarized in the box plot above. Which of the following is closest to the median number of acres?

ExplanationShow

Choice B is correct. The median of the data summarized by a box plot is the value associated with the vertical line segment within the box. According to the box plot shown, this value is slightly greater than 7,000. Therefore, the closest value for the median number of acres is 7,067.

Choice A is incorrect. This is the value associated with the vertical line segment forming the left-hand side of the box. Choice C is incorrect. This value is greater than the value associated with the vertical line segment within the box. Choice D is incorrect. This is the value associated with the vertical line segment forming the right-hand side of the box.

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