Learning goals: Teacher Facing Calculate and interpret (orally and in writing) distances between data points and the mean of the data set. Interpret diagrams that represent the mean as a “balance point” for both symmetrical and non-symmetrical distributions. Represent the mean of a data set on a dot plot and interpret it in the context of the situation. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 6.8 Data Sets and Distributions, Grade 6.