The properties of a normal distribution

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The properties of a normal distribution
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The area under the curve 1
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A local maximum exists at x µ
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The x axis is asymptotic
i.e. the x axis gets closer and closer to the
curve but does not touch it.
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The curve is symmetrical about the mean
Area under the curve 0.5
Area under the curve 0.5
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µ s gives us 68 of the area of the curve
i.e. 68 of its values lie between µ - s and µ
s.
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µ 2s gives us 95 of the area of the curve
i.e. 95 of its values lie between µ - 2s and µ
2s.
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µ 3s gives us 99.7 of the area of the curve
i.e. 99.7 of its values lie between µ - 3s and
µ 3s.