Find the standard deviation and variance of a set of values Apply standard deviation and variance Vocabulary Standard deviation A measure of how far the numbers in a data set deviate from the mean Represented by the Greek letter Sigma ID: 1025226
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1. 11.7 Standard DeviationSWBAT:Find the standard deviation and variance of a set of values. Apply standard deviation and variance.
2. VocabularyStandard deviation: A measure of how far the numbers in a data set deviate from the mean. Represented by the Greek letter Sigma σVariance: the square of standard deviation. Represented by
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4. EX 1 – What are the mean, variance, and standard deviation of these values? 6.9 8.7 7.6 4.8 9.0
5. EX 1 Continued
6. EX 2 – What are the mean, variance, and standard deviation of these values? 52 63 65 77 82
7. EX 3 – The table displays the number of U.S. hurricane strikes by decade from the years 1851 to 2000. What are the mean and standard deviation for this data set?
8. Using Standard Deviation to Describe DataIn a data list, every data value falls within some number of standard deviations of the mean. For example, if the mean is 50 and the standard deviation is 10, then the value x with is within one standard deviation of the mean.
9. COMMERCIAL BREAK!! We interrupt your regularly scheduled lesson to bring you this useful piece of Information.
10. The Normal Bell Curve
11. What does this really mean?
12. We now take you back to your regularly scheduled programming…
13. EX 4 - Use the U.S. hurricane-strike data from problem 3. Within how many standard deviations from the mean do all of the values fall?All of the values fall within two standard deviations of the mean.