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 50 and the mean score is 119.
class b: the range of scores is 49 and the mean score is 116.
class c: the range of scores is 43 and the mean score is 122.
class d: the range of scores is 42 and the mean score is 118.
(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 most variability?
class a class b class c class d

Explanation:

Step1: Compare mean scores

We have mean scores: Class A - 119, Class B - 116, Class C - 122, Class D - 118.

Step2: Identify lowest mean

Among 119, 116, 122, 118, 116 is the lowest. So Class B has the lowest average score.

Step3: Compare ranges

We have ranges: Class A - 50, Class B - 49, Class C - 43, Class D - 42.

Step4: Identify largest range

Among 50, 49, 43, 42, 50 is the largest. So Class A has the most variability.

Answer:

(a) B. Class B
(b) A. Class A