MATH 220 Lecture Notes - Lecture 6: Standard Deviation, Regional Policy Of The European Union, Normal Distribution
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Objective 1: convert values from a normal distribution to z-scores. Z-score of a data value represents the number of standard deviations that data value is above or below the mean. If x is a value from a normal distribution with mean and standard deviation. We can convert x to a z- score by using a method known as standardization: Heights in a certain population of women follow a normal distribution with mean = 64 inches and standard deviation= 3 inches. A randomly selected woman has a height of x = 67 inches. Find and interpret the z-score of this value. Solution: the z-score for x = 67 is z = Because the z-score is positive, we interpret this by saying that a height of 67 inches is 1 standard deviation above the mean height of 64 inches. Objective #2 find areas under a normal curve.
