Question

which of the statements below is true for the following set of numbers? 42, 20, 36, 51, 60, 28 the range is 40 and the midrange is 20. the range and the midrange are equal. the range is 60 and the midrange is 39. the range is 14 and the midrange is 35.

Explanation:

Step1: Find the range

The range is the difference between the maximum and minimum values.
The set of numbers is \(42, 20, 36, 51, 60, 28\).
The maximum value \(M = 60\), the minimum value \(m=20\).
Range \(R = M - m=60 - 20=40\).

Step2: Find the mid - range

The mid - range is \(\frac{M + m}{2}\).
Substitute \(M = 60\) and \(m = 20\) into the formula: \(\frac{60+20}{2}=\frac{80}{2}=40\).

Answer:

The range and the midrange are equal.