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September 23, 2014

September 23, 2014

Posted by **mary** on Tuesday, September 4, 2012 at 9:18pm.

- Elementary Statistics -
**MathGuru**, Thursday, September 6, 2012 at 6:38pmChebyshev's Theorem says:

1. Within two standard deviations of the mean, you will find at least 75% of the data.

2. Within three standard deviations of the mean, you will find at least 89% of the data.

Here's how the formula shows this:

Formula is 1 - (1/k^2) ---> ^2 means squared.

If k = 2 (representing two standard deviations), we have this:

1 - (1/2^2) = 1 - (1/4) = 3/4 or .75 or 75%

If k = 3 (representing three standard deviations), we have this:

1 - (1/3^2) = 1 - (1/9) = 8/9 or approximately .89 or 89%

I'll let you take it from here.

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