Unit 6, Lesson 7# The Mean as a Balance Point

EngageNY 45 min(s)

Students describe the center of a distribution by its mean and interpret it as a balance point. Students understand that the mean is a balance point by calculating the distances of the data points from the mean and calling these distances deviations. Students understand that the balance point is where the sum of the distances above the mean is equal to the sum of the distances below the mean. In Lesson 6, Michelle proposed describing center using the number of hours that all students in the sample would have slept if they all had slept the same number of hours, called the mean.