Unit 6, Lesson 20# Describing Center, Variability, and Shape of Data Distribution from a Graphical Representation

EngageNY 45 min(s)

In this lesson, students consider a histogram of the length of yellow perch in the Great Lakes region. Before students analyze the data, share with them that the histogram is part of the yellow perch story that they uncover in this lesson. Given a frequency histogram, students estimate the values of the mean and mean absolute deviation (MAD) or the median and interquartile range (IQR). It is important to investigate the shape of the data distribution because the shape influences the choice of numerical summaries-the mean and MAD are used for data distributions that are approximately symmetric, and the median and IQR are used for data distributions that are skewed.