Catherine kept track of her math test scores for the first and second semesters. She organized her data into the following table.
,begin bold,Test Scores,end bold, Test 1 Test 2 Test 3 Test 4 Test 5 Test 6
Semester 1 65 80 93 92 92 95
Semester 2 90 93 88 90 95 92
Question
Click on ,begin emphasis,two,end emphasis, true statements about Catherine's test scores.
Answer options with 5 options
A.
Her mean test scores were the same for both semesters.
B.
Her mean test score was higher during Semester 1 than Semester 2.
C.
Her mean test score was higher during Semester 2 than Semester 1.
D.
Her median test score was higher during Semester 1 than Semester 2.
E.
Her median test score was higher during Semester 2 than Semester 1.
The correct answers are B and E.
B. Her mean test score was higher during Semester 1 than Semester 2. The mean test score for Semester 1 is (65+80+93+92+92+95)/6 = 86, while the mean test score for Semester 2 is (90+93+88+90+95+92)/6 = 91. Therefore, the mean test score for Semester 1 is higher than Semester 2.
E. Her median test score was higher during Semester 2 than Semester 1. The median test score for Semester 1 is 92, while the median test score for Semester 2 is 92. Therefore, the median test score for Semester 2 is equal to the median test score for Semester 1.