A
B
C
D
Explanation
Correct answer: A.
Choice A is correct. Since the frequencies of values less than the middle value, , are the same as the frequencies of the values greater than , the set of data has a symmetric distribution. When a set of data has a symmetric distribution, the mean and median values are equal. Therefore, the mean is greater than the median.
Desmos solution:
Note: Because every frequency is multiplied by a, setting a=1 preserves the mean and median.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from misinterpreting the set of data.
Choice C
Choice C is incorrect and may result from misinterpreting the set of data.
Choice D
Choice D is incorrect and may result from misinterpreting the set of data.