Question

the test scores of the students in four classes are summarized below. answer the questions about them.
class a: the mean score is 115 and the range of scores is 50.
class b: the mean score is 116 and the range of scores is 45.
class c: the mean score is 124 and the range of scores is 48.
class d: the mean score is 121 and the range of scores is 44.
(a) based on the information above, which classs scores have the least variability?
class a class b class c class d
(b) based on the information above, which class has the lowest scores on average?
class a class b class c class d

Explanation:

Step1: Analyze variability (range)

Variability can be measured by the range. The smaller the range, the less the variability.
Class A: range = 50; Class B: range = 45; Class C: range = 48; Class D: range = 44.
Since \(44<45 < 48<50\), Class D has the smallest range.

Step2: Analyze average (mean)

The mean represents the average score.
Class A: mean = 115; Class B: mean = 116; Class C: mean = 124; Class D: mean = 121.
Since \(115<116<121 < 124\), Class A has the lowest mean.

Answer:

(a) Class D.
(b) Class A.