Question from-l

3.3 One-Variable Data & Statistics - Mean, median, mode, range
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  • From left to right the values of the vertical bars in the box plot are as follows:
    • First vertical bar: 2
    • Second vertical bar: 4
    • Third vertical bar: 5
    • Fourth vertical bar: 7
    • Fifth vertical bar: 8

 

The box plot summarizes 15 data values. What is the median of this data set?

A.

2

B.

3

C.

5

D.

8

From left to right the values of the vertical bars in the box plot are as

Easy-difficulty · SAT Math · One-Variable Data & Statistics — Mean, median, mode, range. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. The median of a data set represented in a box plot is given by the vertical line within the box. In the given box plot, the vertical line within the box occurs at 5 . Therefore, the median of this data set is 5 .

Choice A is incorrect. This is the minimum value of the data set.

Choice B is incorrect and may result from conceptual errors.

Choice D is incorrect. This is the maximum value of the data set.