Finding percentiles of the Standard Normal Distribution: Example 2 Find the 99th percentile and the 1st percentile of the standard normal distribution
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In this activity, students will be asked to calculate percentiles, z- scores, and probabilities using normal distributions As a result, students will: • Be
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? and ? determine the center and spread of the distribution Eg: What's the 95th percentile of a standard normal distribution?
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data is normally distributed The average for the data is 300 with a standard deviation of 50 What is the percentile score of someone
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(a) The normal distribution with mean µ and variance ?2: X ? N(µ, ?2) Standard normal percentiles and critical values: Percentile
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Example Calculate the 95th, 97 5th and 60th percentile of a normal random variable X, with mean µ = 400 and standard deviation ? = 35 ? 95th-percentile: From
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B Determining Exact Percentiles with z scores Example 1: So we still need to find another 33 of the area under the standard normal curve (50 +
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Measure position using percentiles Describe the standard Normal distribution One example of a variable that has a Normal distribution is IQ In the
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Z scores are defined for distributions of any shape, but only when the distribution is normal can we use Z scores to calculate percentiles
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What score is equal to the 95th percentile? Art of Stat Solution Answer: 731 6 There are at least two solutions to this question:
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