Problem

Find the midrange for the data items in the given frequency distribution. \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|} \hline Score, $\mathbf{x}$ & 85 & 86 & 87 & 88 & 89 & 90 & 91 & 92 & 93 & 94 \\ \hline Frequency, $\mathbf{f}$ & 2 & 1 & 3 & 5 & 3 & 4 & 5 & 1 & 1 & 2 \\ \hline \end{tabular} The midrange is $\square$. (Round to the nearest tenth as needed.)

Solution

Step 1 :The midrange is calculated as the average of the maximum and minimum values in a data set. In this case, the maximum value is 94 and the minimum value is 85. So, we need to calculate the average of these two values.

Step 2 :\(\text{min\_value} = 85\)

Step 3 :\(\text{max\_value} = 94\)

Step 4 :\(\text{midrange} = \frac{{\text{min\_value} + \text{max\_value}}}{2}\)

Step 5 :Substitute the values of min\_value and max\_value into the formula

Step 6 :\(\text{midrange} = \frac{{85 + 94}}{2} = 89.5\)

Step 7 :Final Answer: The midrange is \(\boxed{89.5}\)

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Source: https://solvelyapp.com/problems/TaXjHv6bBL/

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