Questions: What is the midrange of the given data set? 17 14 15 21 104 21 11 13 19 13 17 14 17 19 15 The midrange of the data set is (Type an integer or a decimal. Round to the nearest tenth as needed.)

Solution Steps

To find the midrange of a data set, you need to identify the smallest and largest values in the set. The midrange is then calculated as the average of these two values. This involves adding the smallest and largest numbers together and dividing the sum by 2.

The given data set is: \[ \begin{array}{rrr} 17 & 14 & 15 \\ 21 & 104 & 21 \\ 11 & 13 & 19 \\ 13 & 17 & 14 \\ 17 & 19 & 15 \end{array} \] When flattened, the data set becomes: \[ \{17, 14, 15, 21, 104, 21, 11, 13, 19, 13, 17, 14, 17, 19, 15\} \]

The minimum value \( \text{min} = 11 \) and the maximum value \( \text{max} = 104 \).

The midrange is calculated using the formula: \[ \text{Midrange} = \frac{\text{min} + \text{max}}{2} = \frac{11 + 104}{2} = \frac{115}{2} = 57.5 \]

Final Answer