Math  /  Data & Statistics

QuestionFind the midrange for the data items in the given frequency distribution. \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Score, x\mathbf{x} & 70 & 71 & 72 & 73 & 74 & 75 & 76 & 77 \\ \hline Frequency, f\mathbf{f} & 3 & 2 & 5 & 5 & 3 & 1 & 1 & 2 \\ \hline \end{tabular}
The midrange is \square (Type an integer or a decimal.)

Studdy Solution
Calculate the midrange using the formula:
Midrange=Minimum score+Maximum score2\text{Midrange} = \frac{\text{Minimum score} + \text{Maximum score}}{2}
Substitute the identified minimum and maximum scores:
Midrange=70+772=1472=73.5\text{Midrange} = \frac{70 + 77}{2} = \frac{147}{2} = 73.5
The midrange is:
73.5 \boxed{73.5}

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