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. birens students than in the scores of mr. hayess students. which quality of the data sets would lead the department head to that conclusion? the median score in ms. birens class is greater than the median score in mr. hayess class. the median score in ms. birens class is less than the median score in mr. hayess class. the range of scores in ms. birens class is greater than the range of scores in mr. hayess class. the range of scores in ms. birens class is less than the range of scores in mr. hayess class.

Explanation:

Step1: Recall definitions

Range is the difference between the maximum and minimum values in a data - set. Median is the middle value when data is arranged in ascending or descending order. Greater variability means a larger spread of data. A larger range indicates greater variability.

Step2: Analyze the statements

We know that there is greater variability in Ms. Biren's class scores. Since range measures variability (spread) of data, a greater variability implies a larger range. So the range of scores in Ms. Biren's class is greater than the range of scores in Mr. Hayes's class.

Answer:

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