2-2 Day 1 STANDARD NORMAL CALCULATIONS

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A P STATISTICS LESSON 2 – 2 STANDARD NORMAL CALCULATIONS
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ESSENTIAL QUESTION: How is the Standard Normal Curve used to find information about data? Objectives: To find Z scores of data from normal distributions. To use the standard normal curve to help answer real world problems.
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Standard Normal Distributions All normal distributions are the same if we measure in units of size σ about a mean μ as center. Changing to these units is called standardizing the data.
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Standardizing and Z - scores If x is an observation from a distribution that has mean μ and standard deviation σ, the standardized value of x is Z = x – μ A standardized value is often called a z – score. σ
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Z - Scores Tells us how many standard deviations the original observation falls away from the mean, and which
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Unformatted text preview: direction. Observations larger than the mean are positive when standardized, and observations smaller than the mean are negative. If the variable we standardize has a normal distribution, standardizing does more than give a common scale. It makes all normal distributions into a single distribution, and this distribution is still normal. Standard Normal Distribution The standard normal distribution is the normal distribution N( 0, 1 ) with mean 0 and standard deviation 1 If a variable x has any normal distribution N( μ, σ ) with mean μ and standard deviation σ, then the standard variable has the standard normal distribution. Z = x - μ σ Normal Distribution Calculations...
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2-2 Day 1 STANDARD NORMAL CALCULATIONS - direction...

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