```                      TYPES OF NUMERICAL DISTRIBUTIONS

I.  Characterizing numerical distributions.
A.  Unimodal and multi-modal distributions.
B.  Symmetrical and skewed distributions.
C.  Bell curves.

II.  Normal distributions.
A.  Characteristics.
1.  Unimodal
2.  Symmetrical.
3.  Bell-shaped.
B.  The Empirical Rule.
1.  68% of all observations fall within one standard deviation
of the mean.
2.  95% fall within two standard deviations of the mean.
3.  99% fall within three standard deviations of the mean.

III.  The standard normal distributions.
A.  Standardizing a normal distribution.
1.  While all normal distributions are similar in shape, they
can have different means and standard deviations.
2.  However, every normal distribution can be converted to a
standard normal distribution.
a.  Converting raw scores to z-scores (standard deviation
units).
b.  Interpreting z-scores.
B.  Characteristics of the standard normal distribution.
1.  Unimodal.
2.  Symmetrical.
3.  Bell-shaped.
4.  Empirical Rule applies.
5.  Mean of 0 and standard deviation of 1.
C.  The standard normal table.
1.  What is the standard normal table?
2.  Reading the standard normal table.
3.  Proportion of a distribution above, below, and between
scores.
4.  Areas under the curve as probabilities.
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