03 4.3 the normal distribution 4.4 applying the normal distributions

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5 Terms

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normal distribution
* refers to a symmetrical bell-shaped histogram
* symmetrical about the mean
* area under the curve = 1 thats why probability
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Constant characteristics of the normal curve (normal distributions)
* which is true for all normal distributions
* 50% of data is on each side of the peak
* peak: mode = median = mean
* area under the curve = 1
* follows the emperical rule 68, 95, 99.7
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Standard normal distribution
* special normal curve with
* mean of 0
* standard deviation of one
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Percentile
= the kth percentile if the data value that is greater than k% of the population

joe is 75th percentile of height, therefore, he is taller than 75% of the population (if ranked in order)
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Z scores
* represents the exact number of SD a given piece of data is above or below the mean
* used to find the percentile of the scores that are not exaclty 1,2,3 SD above or below
* compare normal curve with different means and standard deviations