Friday

August 22, 2014

August 22, 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.

**Related Questions**

statistics - "suppose that IQ scores have a bell-shaped distribution with a mean...

college sttistics - I have read all my material regarding how to try and figure ...

Data Management, Math - Chebyshev's Theorem states that withing 2 standard ...

statistics - Suppose IQ scores have a bell-shaped distribution with a mean of ...

Statistics - Assume that the points scored by the winning teams for all NCAA ...

statistic - Chebyshev's thereon- the author's generac produces voltage amounts ...

Statistics - Hi! I've been stuck on this question for a while. I know that I ...

math - Hi, I am trying to solve a problem using Chebyshev's Theorem. The ...

Statistics - Suppose that heights of newborns are bell shaped with a mean of 6.8...

Statistics - Suppose that heights of newborns are bell shaped with a mean of 6.8...