Question

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

Answer 1

The difference between the smallest and largest values in the tutored students’ data was 10 students.

Explanation:

We are given that 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.

As we know that the range tells us the difference between the highest and the lowest value in our data set.

In this question, it is stated that a tutor helps a certain number of students every week in a year. So, there must be a week in which she helps the maximum number of students and there must be a week in which she helps the minimum number of students.

Range = Highest value - Lowest value

Hence, the difference between the smallest and largest values in the tutored students’ data was 10 students. This is the best interpretation of this value.