Additional Properties of the Binomial Distribution 00.001 10.010 20.060 30.185 40.324 50.303 60.118.

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Presentation transcript:

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Additional Properties of the Binomial Distribution

Chebyshev’s theorem tells us that 75% of all data falls within 2 standard deviations of the mean. As we will see later, actually 95% of all data will fall within 2 standard deviations of the mean. So if the mean = 12, and the standard deviation = 2, 95% of all data will fall in between 8 and 16.

Additional Properties of the Binomial Distribution Chebyshev’s theorem tells us that 75% of all data falls within 2 standard deviations of the mean. As we will see later, actually 95% of all data will fall within 2 standard deviations of the mean. So if the mean = 12, and the standard deviation = 2, 95% of all data will fall in between 8 and 16. A data item outside 2 standard deviations is called an outlier. It is less common than the rest of the data. We will look at these scenarios in a later chapter.

Additional Properties of the Binomial Distribution