9
QuizMultiple Choice

Summarizing Data Sets with Statistics — Quiz

Question 9 • Foundations of Math 1

The head of the math department compared the scores of students in two classes on the Chapter 2 test. He found that the mean score of both classes was the same. He also found that there was greater variability in the scores of Ms. Biren’s students than in the scores of Mr. Hayes’s students. Which quality of the data sets would lead the department head to that conclusion?

Answer
A
The range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class.
B
The range of scores in Ms. Biren’s class is less than the range of scores in Mr. Hayes’s class.
C
The median score in Ms. Biren’s class is greater than the median score in Mr. Hayes’s class.
D
The median score in Ms. Biren’s class is less than the median score in Mr. Hayes’s class.

Explanation

Variability describes how spread out the scores are. A greater range means a larger distance between the lowest and highest scores, indicating more variability. Therefore, Ms. Biren’s class would have greater variability if its range is greater than Mr. Hayes’s, which is choice D.

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