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In this lesson, students find and interpret the mean of a distribution (MP2) as the amount each member of the group would get if everything is distributed equally. This is sometimes called the “leveling out” or the “fair share” interpretation of the mean.
Here students do not yet make an explicit connection between the mean and the idea of “typical,” or between the mean and the center of a distribution. These connections will be made in upcoming lessons.
Let’s explore the mean of a data set and what it tells us.
The mean is one way to measure the center of a data set. It can be thought of as a balance point. To find the mean, add all the numbers in the data set. Then divide by how many numbers there are.
The mean is 11. So, the typical travel time is 11 minutes.