mean of the arithmetic means of each group.

Contrast with median

The arithmetic mean differs from the median, which is the value that separates the higher half and lower half of a data set. When the values in a data set form an arithmetic progression, the median and arithmetic mean are equal. For example, in the data set , both the mean and median are .

In other cases, the mean and median can differ significantly. For instance, in the data set , the arithmetic mean is , while the median

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