Investors use earnings per share (EPS) to monitor the financial performance of firms. Below are hypothetical, but realistic, EPS for 9 firms:

2.45 0.75 1.40 2.70 2.7 3.60 4.00 5.56 12.75

a) Find the sample mean b) Find the sample median c) Find the sample mode

d) Find the sample range

e) Find the lower and upper quartiles, and the sample interquartile range IQR

(i) Q1= (ii)Q3= (iii)IQR=

f) Display the data with a boxplot (with fences and whiskers).

(i)Fences: (ii) box-plot:

g) Write a brief description of this data (symmetry, outliers - describe whether we have moderate or extreme outliers).

h) Which is the better summary measure for these data, the mean, or the median? Explain.

i)(i) Find the approximate value of the 80th percentile.

(ii)Give a brief interpretation of this percentile