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 35 and the mean score is 110.
class b: the range of scores is 34 and the mean score is 117.
class c: the range of scores is 36 and the mean score is 114.
class d: the range of scores is 27 and the mean score is 108.
(a) based on the information above, which class has the highest 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

Mean represents the average. Compare the mean scores: Class A ($110$), Class B ($117$), Class C ($114$), Class D ($108$). Since $117>114 > 110>108$.

Step2: Compare ranges

Range measures variability. Compare the ranges: Class A ($35$), Class B ($34$), Class C ($36$), Class D ($27$). Since $36>35>34 > 27$.

Answer:

(a) B. Class B
(b) C. Class C