9
AssignmentMultiple Choice

Range and Interquartile Range

Question 9 • Concepts in Probability and Statistics A

What do you know about this data before finding the range or the interquartile range? 187, 191, 202, 209, 218, 1984

Answer
A
The values are not in order.
B
The outlier will have no affect on the range.
C
The data has an outlier, therefore the interquartile range is much greater than it would be without the outlier.
D
The data has an outlier, therefore the range will be much greater than it would be without the outlier.

Explanation

The value 1984 is far larger than the other values, which are all between 187 and 218, so it is an outlier. Since the range is the maximum minus the minimum, including 1984 makes the range much greater than it would be without that outlier. The interquartile range is based on the middle half of the data and is less affected by an extreme value.

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