Question

the test scores of the students in four classes are summarized below. answer the questions about them. class a: the range of scores is 41 and the mean score is 118. class b: the range of scores is 42 and the mean score is 115. class c: the range of scores is 44 and the mean score is 120. class d: the range of scores is 50 and the mean score is 121. (a) based on the information above, which class has the lowest scores on average? class a class b class c class d (b) based on the information above, which classs scores have the least variability? class a class b class c class d

Explanation:

Step1: Recall the concept of mean

The mean represents the average score. We are given mean scores: Class A - 118, Class B - 115, Class C - 120, Class D - 121.

Step2: Compare the mean scores

By comparing 115 < 118 < 120 < 121, we can see that Class B has the lowest mean score.

Step3: Recall the concept of variability

A smaller range indicates less variability. The ranges are: Class A - 41, Class B - 42, Class C - 44, Class D - 50.

Step4: Compare the ranges

By comparing 41 < 42 < 44 < 50, we can see that Class A has the smallest range and thus the least variability.

Answer:

(a) Class B
(b) Class A