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 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.
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.

Explanation:

Step1: Recall the concept of range

Range is the difference between the maximum and minimum values in a data set. A larger range indicates greater variability.

Step2: Analyze the statements about range

The first statement says "The range of scores in Ms. Biren's class is greater than the range of scores in Mr. Hayes's class". This directly indicates that there is greater variability in Ms. Biren's class scores as range is a measure of variability.

Step3: Analyze the statements about median

Median is the middle - value of a data set. The statements about median (e.g., "The median score in Ms. Biren's class is greater than the median score in Mr. Hayes's class" or vice - versa) are about the central tendency and do not relate to variability.

Answer:

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