Normal Distribution Process Assignment

NORMAL DISTRIBUTION
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NORMAL DISTRIBUTION
A STUDY GUIDE FOR NORMAL DISTRIBUTION
Overview
The normal distribution is a perfectly symmetric, bell-shaped distribution. The pattern is defined
as normal as it appears in data for many real-life phenomena.
Important Terms
Normal distribution
Standard Normal Distribution
Random Variable
Continuous random variable
Mean
Standard Deviation
Empirical Rule
Normal Density Curve
Z-scores
Definition of a Normal Distribution
A normal distribution has the following characteristics:
 Perfect symmetric distribution.
 Bell curve.
 Describes a continuous random variable.
 Infinite distributions on both sides of the curve tending towards 0 but never reach 0.
 Has its center as mean.
 Mean, median and mode are equal.
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NORMAL DISTRIBUTION
 Its spread is measured by standard deviation (Trek).
Standard Normal Curve
The graph of the normal distribution depends on mean and standard deviation. The center of the
curve depends on the mean while its height and width depends on the standard deviation. A
small standard deviation makes the curve tall and narrow. On the other hand, a big one results to
a wide and short curve.
Empirical Rule
Additionally, all normal curves conform to empirical 68-95-99.7 rule. In a breakdown form:
About 68% of the area under the curve falls within 1 standard deviation of the mean.
About 95% of the area under the curve falls within 2 standard deviations of the mean.
About 99.7% of the area under the curve falls within 3 standard deviations of the mean.
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