Drawing Inferences from Random Samples Worksheets, Grade 7 (7.SP.A.2) – Free PDF + Answer Key

First page of the drawing inferences from random samples practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

Sample proportion → multiply by the population size → estimate. Different samples give different estimates, and the spread between them tells you how much confidence a single sample deserves. Pooling several samples gives a better estimate than any one alone.

Sample problems

A sample of 20 finds 9 pet owners. What percentage is that?
Another sample of 20 finds 14. What percentage is that?
How many percentage points apart are those two samples?
Use the sample of 9 to estimate the number of pet owners in a school of 500.

Common mistakes to watch for

Answered 12%. The 12 is a count out of 20, not out of 100.
Answered 12, forgetting to scale up, or 500 × 12 without dividing by 20.
Averaged only the first and last, or reported the spread as the list of values. Spread is a single number.

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.