3
QuizMultiple Choice

Summarizing Data Sets with Statistics — Quiz

Question 3 • Foundations of Math 1

Which statement best describes the interquartile range of this set of weights? start set 120 pounds comma 115 pounds comma 135 pounds comma 105 pounds comma 80 pounds comma 160 pounds end set

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

Explanation

Order the weights from least to greatest: 80, 105, 115, 120, 135, 160. The interquartile range is the difference between the third quartile and the first quartile; here those are the fifth and second values, 135 and 105. So it is the difference between the second and fifth elements after ordering the set, as choice D states.

AI-written and checked against the verified answer.

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