Question: Let M be the median (in points) and R be the range (in points) of four test scores (all in points), x1, x2, x3, and

Let M be the median (in points) and R be the range (in points) of four test scores (all in points), x1, x2, x3, and x4, where the scores are listed from smallest to largest.
a. Write a formula for the median of the test scores.
b. Use the formula you found in part (a) to help you show that if the two middle scores are equal, then the median score is x2.
c. Write a formula for the range of the test scores.
d. Use the formula you found in part(c) to help you show that if all four test scores are equal, then the range is 0 points.

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