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

The Answer is B

Explanation:

The mean for Class A is 4.8 while the mean for Class B is 4.1

4.8 > 4.1

All the other answers are wrong

Answer 2

Explanation:

The mean of class A is

2+ 5+7+6+4+3+8+7+4+5+7+ 6+3+5+4+2+4+6+3+5)/20

= 96/20 = 4.8

The mean of class B is

3+7+6+4+3+2+4+5+6+7+2+2+2+3+4+5+2+2+5+6 = 80/20 = 4

Median for class A is 5

Median for class B is 4

Therefore, the following statements are true for

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