A box-and-whisker plot. The number line goes from 10 to 65. The whiskers range from 15 to 60, and the box ranges from 40 to 50. A line divides the box at 45.
Between which two values would 50% of the data lie? Select all that apply.
15 and 40
15 and 45
40 and 50
45 and 50
45 and 60

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.