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Simpson's Paradox in AP Statistics

A phenomenon in which a trend or relationship observed in aggregated data reverses or disappears when the data are disaggregated into subgroups.

Verified for the 2027 AP Statistics examLast updated August 2026

What is Simpson's Paradox?

A phenomenon in which a trend or relationship observed in aggregated data reverses or disappears when the data are disaggregated into subgroups.

In AP Statistics, this term belongs to 2.2 Summary Statistics for Two Categorical Variables. Use the notation and conditions attached to the procedure or model, then interpret the result in context.

Why Simpson's Paradox matters in AP® Statistics

Simpson's Paradox supports Unit 2: Probability, Random Variables, and Probability Distributions. The relevant CED learning objectives cover calculate summary statistics from two-way tables; compare summary statistics for two categorical variables.

How Simpson's Paradox connects across the course

2.2 Summary Statistics for Two Categorical Variables

Simpson's Paradox is used in this topic. Connect the definition to the topic's calculations and interpretations in context.

Bayes' theorem (Unit 2)

Bayes' theorem connects to Simpson's Paradox through the course's focus on variation, calculation, and conclusions in context.

Empirical Rule (Unit 2)

Empirical Rule connects to Simpson's Paradox through the course's focus on variation, calculation, and conclusions in context.

Is Simpson's Paradox on the AP® Statistics exam?

An AP question can ask you to calculate a probability or interpret a probability distribution in context. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Key things to remember about Simpson's Paradox

  • A phenomenon in which a trend or relationship observed in aggregated data reverses or disappears when the data are disaggregated into subgroups.

  • Simpson's Paradox is mapped to 2.2 Summary Statistics for Two Categorical Variables in the current AP Statistics course.

  • On an AP question, use Simpson's Paradox as part of a complete calculation or interpretation, not as an isolated label.

Frequently asked questions about Simpson's Paradox

What is Simpson's Paradox in AP Statistics?

A phenomenon in which a trend or relationship observed in aggregated data reverses or disappears when the data are disaggregated into subgroups.

Which AP Stats unit covers Simpson's Paradox?

Simpson's Paradox appears in Unit 2: Probability, Random Variables, and Probability Distributions, especially 2.2 Summary Statistics for Two Categorical Variables.

How does Simpson's Paradox appear on the AP exam?

An AP question can ask you to calculate a probability or interpret a probability distribution in context. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context.

Is Simpson's Paradox only a vocabulary term?

No. Be ready to use it in a calculation, identify it in a setup, or interpret what it means in context.