Question

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? The median score in Ms. Biren’s class is greater than the median score in Mr. Hayes’s class.The median score in Ms. Biren’s class is less than the median score in Mr. Hayes’s class.The range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class. The range of scores in Ms. Biren’s class is less than the range of scores in Mr. Hayes’s class.

Answer 1

he range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class.

Explanation:

The range is one measure of variability. The larger the range is, the greater the distance is between the lowest and the highest values; this means the data with a greater range is more variable, and the data with a lower range is less variable.

Since Ms. Biren's class has a higher range, this means her class has greater variability.

Answer 2

Given:
Mean of Ms. Biren's students score are the same with the mean of Mr. Haye's students scores.

Ms. Biren's students scores have greater variability than Mr. Haye's students scores.

The quality of the data set that would lead the department head to that conclusion is:

The range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class.