Statistics: The Institute for Statistics Education
Take this test to see if you can skip Statistics 2
You have data on the incomes of retirees in your community. A sample of 50 looks like this the graph below. Suppose you took another sample of 50 incomes, found their mean, and plotted it on a number line. Suppose you did this over and over until you had 1000 means from 1000 samples. Approximately what would the shape of the distribution of these 1000 means look like?
the same shape as the distribution of individual incomes
the shape of a normal distribution
the shape of the chi-squared distribution
insufficient information to predict the shape