Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum