8
QuizMultiple Choice

Measures of Variability — Quiz

Question 8 • Statistical Reasoning

A tutor kept track of how many students she had helped every week for a year. The range of the number of tutored students was 10 students. Which of the following is the best interpretation of this value?

Answer
A
The difference between the smallest and largest values in the tutored students’ data was 10 students.
B
The middle half of the tutored students’ data has a range that is 10 students wide.
C
The number of students helped within a week typically varies by about 10 students from the mean.
D
Fifty percent of the tutored students’ data is below 10 students.

Explanation

The range is the difference between the largest and smallest values in a data set. So a range of 10 students means the greatest number of students helped in a week was 10 more than the smallest number. Choice D states this directly; the other choices describe the interquartile range, a percentage, or variation around the mean.

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