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