statistics
posted by Amy on .
Why is the population shape a concern when estimating a mean? What effect does sample size, n, have on the estimate of the mean? Is it possible to normalize the data when the population shape has a known skew? How would you demonstrate the central limit theorem to your classmates?

We are not here to answer your questions, but to help you answer them. However, I will give you a start. The mean acts as a fulcrum (balance point), and therefore is greatly effected by deviant scores. All other things equal, the larger the n, the more accurate the estimate of the mean.
http://www.google.com/search?client=safari&rls=en&q=central+limit+theorem+example&ie=UTF8&oe=UTF8
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/. 
mean can defined as balance