Value Frequency 1 a 2 2 a 3 3 a 4 2 a 5 a The frequency distribution above summarizes

Question

Value Frequency 1 a 2 2 a 3 3 a 4 2 a 5 a The frequency distribution above summarizes a set of data, where a is a positive integer. How much greater is the mean of the set of data than the median?

Accepted Answer

Choice A is correct. Since the frequencies of values less than the middle value, 3, are the same as the frequencies of the values greater than 3, 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 0 greater than the median. Choices B, C, and D are incorrect and may result from misinterpreting the set of data.

Value	Frequency
1	a
2	2a
3	3a
4	2a
5	a

Question value-