Select the correct answer. Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare

Question

12 days ago

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Select the correct answer. Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare

for an exam. The data sets represent their answers. Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5} Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6} Which statement is true for the data sets?
A. The mean study time of students in Class A is less than students in Class B.
B. The mean study time of students in Class B is less than students in Class A.
C. The median study time of students in Class B is greater than students in Class A.
D. The range of study time of students in Class A is less than students in Class B. E. The mean and median study time of students in Class A and Class B is equal.

Mathematics

1 answer:

zzz [9K] · Answer 1 · 2026-03-15T18:38:07+03:00

Response:

B. Students in Class B have a lower mean study time compared to those in Class A.

Detailed explanation:

To begin, we will calculate both the mean and median for each class.

Class A: 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5

sorted data: 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8

sum: 96

count: 20

Mean: 96 / 20 = 4.8

Median: In the sorted list, the 10th value is the first 5, so median = 5

Class B: 3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6

Sorted data list: 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7

Sum: 80

Count: 20

Mean: 80 / 20 = 4

Median: In the sorted list, the 10th value is the first 4, so median = 4

Consequently, it is evident that Class B's average study time is less than that of Class A. Answer B.