Given the following set of data (it is a population):

4, 22, 12, 19, 95, 12, 27, 16, 26, 19, 12, 39, 44, 37, 18, 28, 12, 27, 15, 16

Using Excel's embedded formulas and UPLOADING YOUR EXCEL SHEET with embedded calculations to demonstrate your skill at using computer technology for statistical analysis in a business setting, find the:

a. Mean - 25

b. Median - 19

c. Mode - 12

d. Range - 91

e. Variance of the population - 356.4

f. Standard deviation of the population - 18.87856

g. The 30^thpercentile -

h. The IQR (interquartile range)

i. Discuss whether or not an outlier exists in the data. Support your answer with mathematical evidence.

j. The probability of drawing a number higher than 20 if one number was drawn at random from the list

k. The probability of drawing a number higher than 20, not putting it back, and then drawing a second number higher than 20 from the list

l. The probability of drawing a number higher than 20 GIVEN THAT an even number was drawn.