3
QuizMultiple Choice

Range and Interquartile Range — Unit test

Question 3 • Concepts in Probability and Statistics A

Consider the two data sets below:Data Set 1: 19, 25, 35, 38, 41, 49, 50, 52, 59Data Set 2: 19, 25, 35, 38, 41, 49, 50, 52, 99Which of the following statements is true?

Answer
A
The values are not in order.
B
The data sets will have different values for their interquartile range.
C
The data sets will have the same values for their interquartile range.
D
An outlier will have no effect on the range.

Explanation

Both data sets have the same lower half, 19, 25, 35, 38, so their first quartile is (25 + 35) ÷ 2 = 30. Their upper halves have middle values 50 and 52, so the third quartile is 51 in both sets. Thus each interquartile range is 51 − 30 = 21, making “The data sets will have the same values for their interquartile range” true.

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