7th Grade · Statistics & Probability

Measure of Center

7.SP.B.4

Definition

Values that represent the middle of a data set. Mean = average (sum ÷ count). Median = middle value when ordered. Choose based on whether outliers are present.

Examples

  • {3,5,7,8,9,10,12}: mean ≈ 7.7, median = 8.
  • House prices $150K,$160K,$170K,$1,000K: mean $370K is pulled up; median $165K is the better center.

Key rule

Use mean when data is symmetric with no outliers; use median when outliers are present.

Memory hook

Mean gets pulled by outliers; median doesn't.