Question

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.

Answer 1

Answer:

B: The mean study time of students in Class B is less than students in Class A.

Step-by-step explanation:

To find out why answer B is the right answer, I will give you facts from each option.

Option A is false. The mean study time in Class A is 4.8. Meanwhile in Class B it is 4. For Class A, sum up the 20 study times which is 96 and divide them by 20, you will get 4.8 hours of mean study time. For Class B, the sum of the 20 study times is 80, which divided by 20 will be 4.

Option B is True. See previous explanation.

Option C is False. The median study time in Class B is 4. The median study time in Class A is 4.8,

Option D is False. The range in Class A is from 2 to 8. The range in Class B is from 2 to 7.

Option E is False: The mean and median study time of these classes is different.

Answer 2

Answer:

B: The mean study time of students in Class B is less than students in Class A.

Step-by-step explanation: