Tuesday

July 22, 2014

July 22, 2014

Posted by **mzb** on Tuesday, January 22, 2013 at 6:25pm.

- statistics -
**MathGuru**, Wednesday, January 23, 2013 at 6:27pmSome hints:

This 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%

Looking at your problem, the difference between the mean and the data given is 1.5 standard deviations.

Therefore, we have this:

1 - (1/1.5^2) = 1 - (1/2.25) = 1 - 0.44 = 0.56 = 56%

I hope this helps.

**Related Questions**

Statistics - The average life of Canadian women is 73.75 years and the standard ...

Statistics - The average life of Canadian women is 73.75 years and the standard ...

Algebra 2 - In 1950 the life expectancy of women was 72 years. In 1970 it was 75...

Algebra - The life expectancies for men and women in the United States can be ...

Algebra 1A - 1. b.Between the years 1975 and 2000, do women or men have the ...

statistics - if a toaster ovens hav an average life expectancy of 9.5 years with...

Math - the average life expectancy in canada is 80.1 years. Estimate the country...

Statistics - An April 15, 2002 report in Time Magazine stated that the average ...

Elementary Statistics - Heights of women have a bell-shaped distribution with a ...

Sampling Distribution - Sampling Distribution Complete solutions and ...