1. Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8, 3, 1, 12, 15, 13}, which is the data of a sample taken from a larger population.
a. Calculate the arithmetic mean Show all work! (5 pts)
b. Find the median Show all work! (5 pts)
c. Find the mode Show all work! (5 pts)
d. Calculate the range Show all work! (5 pts)
e. Calculate the interquartile range Show all work! (5 pts)
f. Calculate the mean deviation Show all work! (5 pts)
g. Calculate the variance Show all work! (5 pts)
h. Calculate the standard deviation Show all work! (5 pts)