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Characteristics of a Normal Distribution

1) Continuous Random Variable.

2) Mound or Bell-shaped curve.

3) The normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so.

4) Unimodal

5) Mean = Median = Mode

6) Symmetrical with respect to the mean

That is, 50% of the area (data) under the curve lies to the left of

the mean and 50% of the area (data) under the curve lies

to the right of the mean.

7) (a) 68% of the area (data) under the curve is within one

standard deviation of the mean

(b) 95% of the area (data) under the curve is within two

standard deviations of the mean

(c) 99.7% of the area (data) under the curve is within three

standard deviations of the mean

8) The total area under the normal curve is equal to 1.

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Q: What are the characteristics of a normal distribution curve?
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