13
practice testMultiple Choice

Practice Test

Question 13 • Concepts in Probability and Statistics

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

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

Explanation

Both data sets are already in order, and their middle value is 41. The lower half is 19, 25, 35, 38 in both sets, so Q1 = (25 + 35) / 2 = 30. The upper half has middle values 50 and 52 in both sets, so Q3 = (50 + 52) / 2 = 51; therefore, both interquartile ranges are 51 − 30 = 21. The true statement is that the data sets have the same interquartile range.

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