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