Normal Distributions

Normal Distributions is topic 1.9 of AP Statistics, inside Exploring One-Variable Data. This page works through three real practice questions on it, with the full reasoning behind each credited answer.

Practise this topic freeThe whole unit
92 questionsUsing Probability and Simulation100% with a figure
Worked examples

Three real normal distributions questions

From the practice pool, not the mock papers — each with the reasoning that produces the answer.

92 practice questions sit on this single topic — enough that it is worth working through by topic rather than meeting it scattered through a unit review.

100% of them come with a figure. Reading the graph or diagram correctly is most of the work here before any content knowledge applies.

97% test a single AP skill: Using Probability and Simulation. That makes this topic unusually predictable to prepare for.

Using Probability and Simulation · with figure

The figure encodes the needed information for sensor summaries. What is the approximate probability for Region I?

  1. A0.81
  2. B0.89
  3. C0.85
  4. D0.77correct
  5. E0.93
Why D is correct

Region I has area about 0.77.

This is a strictblind AP Statistics figure item. The stem withholds the data needed to choose an answer, and the answer must be determined from the normal_curve rendered from render_spec. Students must read the shaded interval on the curve before choosing a probability. The answer key is recomputed from the structured answer_rule.

Using Probability and Simulation · with figure

The visual summary is based on measurement scores. What is the approximate probability for Region II?

  1. A0.46
  2. B0.34
  3. C0.38
  4. D0.30correct
  5. E0.42
Why D is correct

Region II has area about 0.30.

This is a strictblind AP Statistics figure item. The stem withholds the data needed to choose an answer, and the answer must be determined from the normal_curve rendered from render_spec. Students must read the shaded interval on the curve before choosing a probability. The answer key is recomputed from the structured answer_rule.

Using Probability and Simulation · with figure

A display summarizes assessment scores. What is the approximate probability for Region I?

  1. A0.55
  2. B0.47
  3. C0.51correct
  4. D0.59
  5. E0.63
Why C is correct

Region I has area about 0.51.

This is a strictblind AP Statistics figure item. The stem withholds the data needed to choose an answer, and the answer must be determined from the normal_curve rendered from render_spec. Students must read the shaded interval on the curve before choosing a probability. The answer key is recomputed from the structured answer_rule.

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Last reviewed 2026-08-28. Topic and unit names follow the College Board course framework. Question counts describe the PrepScore practice bank, not the exam.
Same unit
Comparing Distributions160 questionsSummary Statistics for a Quantitative Variable105 questionsDescribing the Distribution of a Quantitative Variable92 questions

Work normal distributions until the reasoning is automatic.

Real AP questions with a full explanation on every answer, and a mistake bank that only clears when you get it right.

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