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Working with z-scores and the Normal Curve ...
it's everywhere!




           Green House by the Laundry by Dylan James
The Standard Normal Distribution
The normal distributions used up to this point have all been non-
standard normal distributions. This means that the mean and standard
deviation of the distribution are the mean and standard deviation of the
data being studied.

In a standard normal distribution, the scale on the x-axis is the z-score
(a standard score) where 'z = 0' is the mean, and the standard deviation
is '1'. The distribution is a probability distribution where the area under
the curve = 1. This means there is a 100 percent chance of every score
being included in this distribution. Other probabilities are illustrated
below.
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008
Applied Math 40S March 24, 2008

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Applied Math 40S March 24, 2008

  • 1. Working with z-scores and the Normal Curve ... it's everywhere! Green House by the Laundry by Dylan James
  • 2. The Standard Normal Distribution The normal distributions used up to this point have all been non- standard normal distributions. This means that the mean and standard deviation of the distribution are the mean and standard deviation of the data being studied. In a standard normal distribution, the scale on the x-axis is the z-score (a standard score) where 'z = 0' is the mean, and the standard deviation is '1'. The distribution is a probability distribution where the area under the curve = 1. This means there is a 100 percent chance of every score being included in this distribution. Other probabilities are illustrated below.