Fifty patients were treated at the free clinic last week. Their ages are listed from youngest to oldest: 14, 15, 15, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 24, 24, 24, 25, 26, 26, 26, 27, 28, 30, 31, 32, 36, 40, 41, 41, 47, 52, 52, 59, 59, 60, 65, 72.
a. What is the mean age?
b. What is the median?
c. What is the mode?
d. What is the range?
e. Calculate the variance of the ages listed from a frequency distribution.
f. Calculate the variance of the ages from a frequency distribution with class limits of 14 to 35, and a standard deviation with a class interval of 1.