ACT Math · Statistics and data analysis
What is the range of the data set 2, 5, 6, 8, 9, 11, 45?
What is the range of the data set 2, 5, 6, 8, 9, 11, 45?
Answer and explanation
Answer: H: 43
The range is the largest value minus the smallest value: , choice H. The outlier stretches the range a great deal, since without it the range would be . Choice F () leaves out the largest value. Choice J () is the maximum and not the difference. Choice G () comes from , using the wrong minimum. The range is sensitive to outliers, which is why other measures such as the interquartile range are sometimes preferred.
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