How to find the median for a set of data - AP Statistics

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Question

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the median value of the six homes?

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Answer

The median is determined by ordering the values in the group from least to greatest: 155, 214, 305, 315, 535, 720. The value directly in the middle is the median. For instance, if there are five numbers, the third is the median. Here, we have an even number of values so there is no value directly in the middle. To find the median when there is no middle-most value, find the average of the two middle values. The mean is determined by adding the two values and dividing by two (the number in the group):

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