Asked by anonymous

The heights in inches of six basketball players at a local high school are given as a dataset.

70, 78, 74, 82, 68, 75

Find the range and the interquartile range of the dataset.

(1 point)
Responses

The range is 5, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.

The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 74.5.

The range is 14, and the interquartile range is 8.
The range is 14, and the interquartile range is 8.

The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 4.5.
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All Answers 1

Answered by GPT-5 mini AI
Sort the data: 68, 70, 74, 75, 78, 82.
Range = 82 − 68 = 14.

For n = 6, lower half = 68,70,74 → Q1 = 70; upper half = 75,78,82 → Q3 = 78.
IQR = Q3 − Q1 = 78 − 70 = 8.

Answer: The range is 14, and the interquartile range is 8.