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Bell Ringer Using all available resources (especially your brain), answer the following: 1. What is normal? 2. What are the three measures of central tendency?

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Presentation on theme: "Bell Ringer Using all available resources (especially your brain), answer the following: 1. What is normal? 2. What are the three measures of central tendency?"— Presentation transcript:

1 Bell Ringer Using all available resources (especially your brain), answer the following: 1. What is normal? 2. What are the three measures of central tendency? 3. What are outliers? 4. What does deviate mean?

2 Normal Distribution Wednesday, April 20, 2016

3 How can data be distributed? One very important type of data distribution is called “ normal distribution.” So what is “ normal ”? Let’s see…

4 What is “normal”?

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11 Characteristics of “normal distribution”? 1. The mean, median, and mode are all the same. 2. The data fits a “bell curve”. 3. The inflection points are equidistant from the mean (we call this distance standard deviation). 4. Then mean is represented by the Greek letter mu  μ 5. Standard deviation is represented by the Greek letter sigma  σ 6. Approximately 68% of your data is within 1 standard deviation of the mean. 7. Approximately 95% of your data is within 2 standard deviations of the mean. 8. Approximately 99.7% (so almost all) of your data is within 3 standard deviations of the mean.

12 What does standard deviation tell us about a distribution?

13 What does the mean tell us about a distribution?

14 Notes – Empirical Rule sheet Homework – Empirical Rule and Normal Distribution

15 Exit Ticket What is the Empirical Rule?


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