CurriculumGrade 12Mathematics

Surveys, Experiments, and Observational Studies

Aligned to S-IC.B.3 — Common Core State Standards for Mathematics.

What this lesson teaches

A sample survey questions a sample to describe a population; an observational study watches without intervening; an experiment imposes a treatment to test cause and effect. Randomization reduces bias, and in an experiment random assignment supports causal claims.

Worked example

To test a new fertilizer, an experiment randomly assigns plots to either fertilizer or none and compares yields. Because assignment is random, a difference in yield can be attributed to the fertilizer itself.

Practice questions

  1. Which type of study can establish cause and effect?
  2. Give an example of an observational study.
  3. Why is random assignment important in an experiment?

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Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Encuestas, experimentos y estudios observacionales

Una encuesta por muestreo interroga a una muestra para describir una población; un estudio observacional observa sin intervenir; un experimento impone un tratamiento para probar causa y efecto. La aleatorización reduce el sesgo, y en un experimento la asignación aleatoria respalda las afirmaciones de causalidad.

Ejemplo: Para probar un fertilizante nuevo, un experimento asigna al azar parcelas a fertilizante o a ninguno y compara los rendimientos. Como la asignación es aleatoria, una diferencia en el rendimiento puede atribuirse al fertilizante mismo.

More Statistics & Probability lessons

Making Inferences from SamplesS-IC.B.4Normal Distributions and the Empirical RuleS-ID.A.4Making Inferences from SamplesS-IC.A.1Comparing Two TreatmentsS-IC.B.5Events, Unions, and ComplementsS-CP.A.1Independent EventsS-CP.A.2

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