AP Statistics 2.2 - Density Curves and Normal Distributions
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Last updated 10:42 PM on 9/10/22
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9 Terms
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density curve
a curve that 1) Is always on or above the horizontal axis 2) Has area exactly 1 underneath it
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mean of a density curve
the point at which the curve would balance if made of solid material.
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median of a density curve
the equal-areas point, the point that divides the area under the curve in half.
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µ (the Greek letter mu)
mean of a density curve
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σ (the Greek letter sigma)
standard deviation of a density curve
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Normal curves
symmetric, bell-shaped curves; describe Normal distributions.
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Normal distribution
described by a symmetric, single-peaked, bell-shaped density curve called a Normal curve.
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68-95-99.7 rule
In a Normal distribution with mean µ and standard deviation σ:
Approximately 68% of the observations fall within σ of the mean µ.
Approximately 95% of the observations fall within 2σ of the mean µ.
Approximately 99.7% of the observations fall within 3σ of the mean µ.
Approximately 68% of the observations fall within σ of the mean µ.
Approximately 95% of the observations fall within 2σ of the mean µ.
Approximately 99.7% of the observations fall within 3σ of the mean µ.
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standard Normal distribution
the Normal distribution with mean 0 and standard deviation 1.
