Question: (15pts.) The number of new theatre productions that appear on Broadway are as follows:

30 28 33 29 37 39 35 37 38 34

Formulas must be used and all work shown.

a) find the mean

b) find the median

c) find the mode

d) find the midrange

e) find the variance

f) find the standard deviation

g) find the z-score of 30 theatre productions

h) find the 90th percentile

i) construct a boxplot and comment on the shape of the distribution