QMS 102 Chapter Notes - Chapter 7: Standard Score, Standard Deviation, Exponential Distribution

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Continuous random variable - a variable that can assume any value on a continuum (preciseness) Normal distribution most common continuous distribution: can be used to approximate various discrete probability distributions. Normal distribution theoretical properties: symmetrical, mean and median are equal, bell shaped, empirical rule applies. Iq range is equal to 1. 33 standard deviations, middle 50% are contained within an interval of (cid:884)/(cid:885)"s of a standard deviation below the mean and (cid:884)/(cid:885)"s of a standard deviation above the mean. Infinite range: range is equal to approximately 6 standard deviations, spread us determined by the standard variation, o, location is determined by the mean, u. Normal probability density function f(x) = 1/ (cid:523) (cid:884) o(cid:524) e-(1/2)[)x-u)/o]^2 e constant, pi, u the mean, o standard deviation, x any value of the continuous variable. Standardized normal distribution (z) - any normal distribution (with any mean and standard deviation combination) can be transformed in: has a mean of 0 and a standard deviation of 1.

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