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Normal Distributions We have already looked at histograms, which are graphs used to display continuous data. An example of a histogram for the results of a diagnostic test administered to grade 9’s at the beginning of the semester is shown below. While no real world situation is perfect, many natural relationships form a bell shaped distribution like the one shown below. If a distribution has this general “bell” shape, there are several significant statistical properties that we can conclude about our data. Characteristics of a Normal Distribution Notation: ________________ shaped curve Mean, Median and Mode are all ________________ Curve is _______________________________________ Data is clustered around the ________________ Standard Normal Distribution: Used to display _____________________ data Entire area under the curve equals _______________ Data percentage and standard deviations in a normal distribution Ex. 1 The heights of 1000 female university students are normally distributed with a mean of 165cm and a standard deviation of 15 cm. Find: a) The percentage of women with heights between 150 and 180 cm tall. b) The number of women who had a height less than 180 cm. c) The number of women with height greater than 210 cm or less than 120 cm. Homework: Pg. 176: #1,3,6-10.
