Question

which of the statements below is true for the following set of numbers? 30, 25, 50, 75, 75, 60
the range and the midrange are equal.
the range is less than the midrange.
the range is 50 and the midrange is 25.
the range is 75 and the midrange is 55.

Explanation:

Step1: Calculate the range

The range is calculated as the difference between the maximum and minimum values.
For the set \(30,25,50,75,75,60\), the maximum value \(M = 75\) and the minimum value \(m=25\).
The range \(R = M - m=75 - 25=50\).

Step2: Calculate the mid - range

The mid - range is calculated as \(\frac{M + m}{2}\).
Substitute \(M = 75\) and \(m = 25\) into the formula: \(\frac{75+25}{2}=\frac{100}{2}=50\).

Answer:

The range and the midrange are equal.