Answer
See explanation
Work Step by Step
Between-Group Variance
Definition: The variation between the means of different groups.
What it measures: How much the group means differ from the overall mean.
Interpretation: A high between-group variance suggests that the groups are distinct from each other.
Within-Group Variance
Definition: The variation within each group — how much individual data points differ from their own group mean.
What it measures: The internal consistency or spread of values inside each group.
Interpretation: A low within-group variance means the data points in each group are closely clustered.