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 * Aim:** How do we apply the characteristics of a normal distribution? //(The normal curve will be given to you on the Regents Reference Sheet)//

At the end of the lesson, you will be able to...
 * 1) explain the properties of a normal distribution
 * 2) apply the normal distribution to determine probabilities
 * 3) determine what percent of normally distributed data is within a certain range given information about the mean and standard deviation
 * 4) apply percentiles to the normal distribution
 * 5) solve real word problems involving normal distribution

So, now you get to see why we need to know standard deviation and mean and how it applies to statistices.

As you watch the videos, be sure to write down the steps on how to use the graphing calculator.

Video 1

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Video 2

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a. What percent of the data values are less than 50? (Ans: 50%) b. What percent of the data values are between 48 and 52? (Ans: 68%) c. What percent of the data values are between 46 and 54? (Ans: 95%) d. What percent of the data values are less than or equal to 46? (Ans: 2.5%)
 * Classwork:** A set of data is normally distributed with a mean of 50 and a standard deviation of 2.


 * Homework:** 10 - 16 even, 17. Use your graphing calculator to help you

[|normal_dist.JPG]


 * Answers:**

[|A-nomal_dist.JPG]


 * Journal entry:** How could an understanding of a normal distribution help the owner of a Big & Tall Men's Shoe store to stock the correct inventory of shoe sizes for his customers?