A population has a mean of m=80 and a standard deviation of σ=20. a. Would a score of X=70 be considered an extreme value (outlier) in this sample? b. If the standard deviation were σ=5, would a score of X=70 be considered an extreme value/outlier?
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The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.
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