Question

topic: measures of center
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
which of the statements below is true for the following set of numbers?
42, 15, 36, 51, 65, 28
the range is 65 and the midrange is 39.
the range is 50 and the midrange is 40.
the range is 14 and the midrange is 35.
the range is 50 and the midrange is 25.

Explanation:

Step1: Find the maximum and minimum values

The set of numbers is \(42, 15, 36, 51, 65, 28\). The maximum value \(max = 65\) and the minimum value \(min=15\).

Step2: Calculate the range

The formula for the range \(R\) is \(R = max - min\). So \(R=65 - 15=50\).

Step3: Calculate the mid - range

The formula for the mid - range \(MR\) is \(MR=\frac{max + min}{2}\). So \(MR=\frac{65 + 15}{2}=\frac{80}{2}=40\).

Answer:

The range is 50 and the midrange is 40.