Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783. The next display shows a histogram of the population.

When comparing more than two means, an ANOVA F-test tells you whether the means are significantly different from each other, but it does not tell you which means differ from which other means.