Median - GED Math

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Question

Given the data set , which of the following quantities are equal to each other/one another?

I: The mean

II: The median

III: The mode

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Answer

The median of a data set with an odd number of elements is the middle value when the set is arranged in ascending order; the middle value of this nine-element set is the fifth value, 5.

The mode of a data set is the most frequently occurring element. Here, only 5 appears multiple times, so it is the mode.

The mean of a data set is the sum of its elements divided by the number of elements, which here is 9:

The mean and the mode are equal, but the mean is different. The correct answer is "II and III only".

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