QMS 102 Lecture Notes - Lecture 9: Interquartile Range, Decimal Mark, Normal Distribution

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Continuous random variable is a variable that can assume any value on a continuum (can assume many things thickness of an item, temperature, height, etc) These can potentially take on any value depending only on the ability to precisely and accurately measure. Bell shaped, symmetrical, and mean/median/mode are equal. Spread is determined by the standard deviation. The random variable has an in nite theoretical range + in nite to - in nite. Changing u shifts the distribution left or right. Changing standard deviation increase or decreases the spread. The formula for the normal probability density function is: Any normal distribution (with any mean and standard deviation combination) can be transformed into the standardized normal distribution (z) Need to transform x units into z units. The standardized normal distribution (z) has a mean of 0 and a standard deviation of 1. Translate from x to the standardized normal (z) by subtracting the mean of x and dividing it by standard deviation.

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