Statistical inference

Inference from sample statistics and margin of error: practice and worksheets

Use representative samples, estimates, confidence intervals, and margin of error to reason about populations.

11 questions Foundation to advanced Grades 9–12

Concept overview

Statistical inference uses a sample to estimate an unknown population value. A margin of error describes the expected sampling uncertainty, not every possible source of bias.

Key points

  • Random selection supports generalizing from a sample to a population.
  • Larger random samples generally produce smaller margins of error.
  • Interpret an interval in the context of the population quantity being estimated.

Worked example

An estimate of 48% with a margin of error of 3 percentage points gives a plausible interval from 45% to 51%.

Try it free

Answer a few questions without signing in. You will get instant feedback, but open-preview progress is not saved.

0 / 5

Questions by difficulty

4foundation
6medium
1advanced

Inference from sample statistics and margin of error worksheet practice

Use the printable worksheet for independent practice, then check the answer key and worked explanations.

Open worksheet with answers

Frequently asked questions

How should I practice Inference from sample statistics and margin of error?

Start with foundation questions, check each answer, and move up a level after several correct answers in a row.

How many practice questions are available?

IQClub currently has 11 published questions for this skill.

Can I use this for test preparation?

Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.

SAT® is a registered trademark of the College Board. ACT® is a registered trademark of ACT, Inc. PSAT/NMSQT® is a registered trademark of the College Board and the National Merit Scholarship Corporation. AP®, Advanced Placement Program®, and Pre-AP® are registered trademarks of the College Board. IQClub.com is not affiliated with, endorsed by, or sponsored by any of these organizations.