Answer:
Answer is E
Explanation:
To determine the correct answer, we need to analyze the data sets for both Class A and Class B.
Class A data set: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B data set: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
A. The mean study time of students in Class A is less than students in Class B.
To find the mean, we sum up all the values in each data set and divide by the number of values.
Mean of Class A = (2 + 5 + 7 + 6 + 4 + 3 + 8 + 7 + 4 + 5 + 7 + 6 + 3 + 5 + 4 + 2 + 4 + 6 + 3 + 5) / 20
Mean of Class A ≈ 4.8
Mean of Class B = (3 + 7 + 6 + 4 + 3 + 2 + 4 + 5 + 6 + 7 + 2 + 2 + 2 + 3 + 4 + 5 + 2 + 2 + 5 + 6) / 20
Mean of Class B ≈ 4.0
Therefore, the statement "The mean study time of students in Class A is less than students in Class B" is incorrect.
B. The mean study time of students in Class B is less than students in Class A.
Using the mean calculations from the previous question, we can see that this statement is also incorrect.
C. The median study time of students in Class B is greater than students in Class A.
To find the median, we arrange the values in ascending order and find the middle value.
Median of Class A = 4 (since the middle values are 4 and 4)
Median of Class B = 4 (since the middle values are 4 and 4)
Therefore, the statement "The median study time of students in Class B is greater than students in Class A" is incorrect.
D. The range of study time of students in Class A is less than students in Class B.
The range is the difference between the maximum and minimum values in each data set.
Range of Class A = 8 - 2 = 6
Range of Class B = 7 - 2 = 5
Therefore, the statement "The range of study time of students in Class A is less than students in Class B" is incorrect.
E. The mean and median study time of students in Class A and Class B are equal.
From our calculations, we can see that the mean and median study time for both classes are equal. Therefore, this statement is correct.
Therefore, the correct answer is: E. The mean and median study time of students in Class A and Class B is equal.