Wild-card Summer Olympics.
Seventy-one swimmers finished the qualifying first day of the men s 100-m swim in the 2000 Olympics in Sydney. The average time was 52.65 seconds, with a standard deviation of 7.66 seconds. The median time was 51.34 seconds and the IQR was 2.58 seconds.
a) Without looking at a graphical display, what shape would you expect the distributions of times to have?
b) What might account for the difference between these two sets of statistics?
c) Here is the histogram of the actual times. Write a couple of sentences summarizing what you see.