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 transcript:

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?

Normal Distribution Wednesday, April 20, 2016

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

What is “normal”?

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.

What does standard deviation tell us about a distribution?

What does the mean tell us about a distribution?

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

Exit Ticket What is the Empirical Rule?