AP®︎ Statistics (pre-2026): Topic 5.2 Flashcards

Master key terms and definitions for Topic 5.2 of AP Statistics (pre-2026) – The Normal Distribution, Revisited to help you prep for quizzes and the AP exam.

This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

Continuous Random Variable

Definition

A variable that can take any value within an interval, with probabilities assigned to intervals.

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Continuous Random Variable
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A variable that can take any value within an interval, with probabilities assigned to intervals.

VAR-6.AVAR-6.A.1
Area Under a Normal Curve
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The area over an interval equals the probability that a value falls in that interval.

VAR-6.AVAR-6.A.3
Total Area and Symmetry of a Density Curve
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All area equals 1, and a normal curve has 0.5 on each side of the mean.

VAR-6.AVAR-6.A.2
Empirical Rule
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About 68%, 95%, and 99.7% of values lie within 1, 2, and 3 standard deviations.

VAR-6.A
Standard Normal Distribution
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The normal distribution with mean 0 and standard deviation 1, used with z-scores.

VAR-6.BVAR-6.B.1
Finding Normal Probabilities
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Standardize if needed, then use a table or technology to find area for the interval.

VAR-6.AVAR-6.A.3
Finding an Interval from a Given Area
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Use z-scores or technology to find boundary values, then convert back to the original scale.

VAR-6.BVAR-6.B.1
Approximate Normality
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A distribution can be modeled normally if it is roughly symmetric and bell-shaped.

VAR-6.CVAR-6.C.1
Comparing Values with Z-Scores
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Convert values from different distributions to standardized units so their relative positions can be compared.

VAR-6.B
Normal Distribution
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A continuous, symmetric, unimodal bell-shaped distribution determined by its mean and standard deviation.

VAR-6.AVAR-6.A.2
Z-Score
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A standardized value showing how many standard deviations an observation is from the mean.

VAR-6.BVAR-6.B.1
Normal Distribution Interval Types
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Areas under a normal curve can describe left-tail, right-tail, middle, or split-tail intervals.

VAR-6.BVAR-6.B.2
Percentile
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The percent of observations in a distribution that are at or below a value.

VAR-6.BVAR-6.B.2