20
QuizMultiple Choice

Topic Test

Question 20 • *WHS Pre-Algebra - MA3119 B-CR

Which statement best describes the interquartile range of this set of weights?{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}

Answer
A
the difference between the first and sixth elements of the set as it is written above
B
the difference between the second and fifth elements of the set as it is written above
C
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
D
the difference between the second and fifth elements of the set after it has been ordered from least to greatest

Explanation

First order the weights from least to greatest: 80, 105, 115, 120, 135, 160. The first quartile is the median of the lower half, 105, and the third quartile is the median of the upper half, 135. The interquartile range is the difference between these quartiles, so it is the difference between the second and fifth elements in the ordered set.

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