Question
midrange for the following group of data items: \( 50,72,12,67,8,30 \)
Ask by Weston Garrett. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The midrange is 40.
Solution
The midrange is the average of the smallest and largest data values. In the given data set: 8, 12, 30, 50, 67, and 72, the smallest value is 8 and the largest is 72.
Thus, the midrange is calculated as:
Midrange = (8 + 72) / 2 = 80 / 2 = 40.
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Simplify this solution Extra Insights
To find the midrange, you first determine the maximum and minimum values in your dataset. In this case, the maximum is 72, and the minimum is 8. The midrange is then calculated by averaging these two numbers: \[ \text{Midrange} = \frac{\text{Max} + \text{Min}}{2} = \frac{72 + 8}{2} = \frac{80}{2} = 40. \] So, the midrange for the data set \( 50, 72, 12, 67, 8, 30 \) is 40. Just a tip: The midrange can be sensitive to outliers! If you had a very high or very low number compared to the rest, it could skew your midrange.
