Question

Which statement is true about the relationship between the mean and median of a dataset?

A) The mean is greater than the median
B) The mean is less than the median
C) The mean is the same as the median
D) The mean and median have no specific relationship

Answer 1

The mean is greater than the median in a dataset.

Step-by-step explanation:

To understand this relationship, it's important to know what the mean and median represent. The mean is the average of all the numbers in the dataset, while the median is the middle number when the numbers are arranged in order. In a dataset with a normal distribution (symmetrical), the mean will be greater than the median. This is because the mean takes into account the values of all the numbers, while the median only considers the middle number. As a result, if there are outliers or extreme values in the dataset, they will have a greater impact on the mean than on the median.