Question

find the range of this data set: 150, 175, 160, 180, 165

Explanation:

Step1: Find the maximum value

The maximum value in the data set \(150, 175, 160, 180, 165\) is \(180\).

Step2: Find the minimum value

The minimum value in the data set \(150, 175, 160, 180, 165\) is \(150\).

Step3: Calculate the range

The formula for the range \(R\) of a data set is \(R=\text{Max}-\text{Min}\). Substituting the values, we get \(R = 180-150\).

Answer:

\(30\)