Comparing Two Data Distributions Worksheets, Grade 7 (7.SP.B.3) – Free PDF + Answer Key

First page of the comparing two data distributions practice worksheet

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Watch: Mean, Median, Mode, and Range Explained Clearly

Key idea

Separation = gap between means ÷ MAD. Roughly: under 1 MAD means the groups overlap heavily and the difference is weak; 2 MADs or more means they are clearly distinct. The MAD itself is the average distance of a value from its mean.

Sample problems

Find the mean of 4, 5, 6, 7, 8.
Find the mean of 7, 8, 9, 10, 11.
What is the gap between the two means?
Find the MAD of the first group.

Common mistakes to watch for

Compared the largest values, or gave the gap as a list of differences.
Kept the signs when finding distances, getting a MAD of 0. Deviations are always positive.
Assumed the MAD would also be similar. Same means and same gap, very different spread.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.