Question

the test scores of the students in four classes are summarized below. answer the questions about them.
class a: the mean score is 113 and the range of scores is 47.
class b: the mean score is 115 and the range of scores is 49.
class c: the mean score is 110 and the range of scores is 50.
class d: the mean score is 112 and the range of scores is 43.
(a) based on the information above, which class’s scores have the most variability?
∘ class a ∘ class b ∘ class c ∘ class d
(b) based on the information above, which class has the highest scores on average?
∘ class a ∘ class b ∘ class c ∘ class d

Explanation:

Part (a)

To determine which class has the most variability, we use the range (a measure of variability). The larger the range, the more spread out (variable) the data.

• Class A range: 47
• Class B range: 49
• Class C range: 50
• Class D range: 43

Among these, 50 (Class C's range) is the largest. So Class C has the most variability.

To find which class has the highest average scores, we compare the mean scores (mean represents the average).

• Class A mean: 113
• Class B mean: 115
• Class C mean: 110
• Class D mean: 112

Among these, 115 (Class B's mean) is the highest. So Class B has the highest average scores.

Answer:

C. Class C

Part (b)