In-class exercise: an environmental scientist is worried that we may be having an undetected measles epidemic. She coordinates with local nurses to sample the number of cases reported in her county. Below is a fictitious random sample of patients reported positive to measles tests in the last week:

Random sample of patients testing positive to measles during a week

12 12 13 13 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 17 17 17 17 18 18 18 19 19 19 19 19 19 19 20 20 20

a) Calculate the median of the distribution.

b) What is the mode of this data distribution?

c) What is the mean of the distribution?

d) If the town is ready to invest in measles vaccines, which mode of central tendency should they use and why?

e) Without graphing, which kind of distribution do you expect this data to have, if you were to display it in a histogram?

f) What do you expect the shape of the population of the state look like when graphed?