Question

find the mid - range for the following group of data items. 12,52,13,22,53,53,31,66,36,14,14
the mid - range of the set of values is □ (type an integer or a decimal.)

Explanation:

Step1: Recall the formula for the mid - range.

The mid - range of a set of data is calculated as $\frac{\text{Maximum value}+\text{Minimum value}}{2}$.

Step2: Identify the maximum and minimum values in the set.

The set of values is \(1,2,5,2,13,22,5,3,5,2,31,6,6,36,14,14\). The minimum value is \(1\) and the maximum value is \(36\).

Step3: Calculate the mid - range.

Using the formula, we have $\frac{1 + 36}{2}=\frac{37}{2}=18.5$.

Answer:

\(18.5\)