Posted by mary on Tuesday, September 4, 2012 at 9:18pm.
Heights of women have a bellshaped distribution with a mean of 161 cm and a standard deviation of 7 cm. Using Chebyshev’s theorem, what do we know about the percentage of women with heights that are within 2 standard deviations of the mean? What are the minimum and maximum heights that are within 2 standard deviations of the mean?

Elementary Statistics  MathGuru, Thursday, September 6, 2012 at 6:38pm
Chebyshev'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.
Answer This Question
Related Questions
 statistics  Heights of women have a bellshaped distribution with a mean of 158...
 Statistics  the heights of young women are approximately Normal with 65 inches ...
 Statistics  The heights of women in a certain population have a Normal ...
 statistics  A survey found that women's heights are normally distributed with ...
 statistics  Women’s heights are normally distributed with a mean of 63.6 in and...
 statistics  Assume that women's heights are normally distributed with a mean=63...
 statistics  Heights of men on a baseball team have a bellshaped distribution ...
 Statustics  A survey found that women’s heights are normally distributed with ...
 statistics  A survey found that women's heights are normally distributed with ...
 statistics  Tall clubs international is a social organization for tall people. ...
More Related Questions