Marks for a university business statistics class are given in the following table.

63 74 42 65 51 54 36 56 68 57

62 64 76 67 79 61 81 77 59 31

84 68 71 98 71 86 69 75 91 55

48 82 83 54 79 62 68 58 41 47

Construct

a. a frequency distribution

b. a relative frequency distribution

c. a cumulative frequency distribution

d. a cumulative relative frequency distribution

e. a histogram

f. an ogive

g. a stem-and-leaf display.

h. Briefly comment on the shape of the distribution based on the histogram.

i. Use the following grading scheme to construct a pie chart (<50:F; 50-59:D; 60-

69:C; 70-79:B; >79:A).

B. Use the data in part (A) to construct a box plot and identify any outliers.

C. A sample of eight observations of variables x (price) and y (quantity) is shown below:

P ($) 5 3 7 9 2 4 6 8

Q (kg) 20 23 15 11 27 21 17 14

a. Calculate a straight line using the least squares method.

b. Calculate and interpret the coefficient of determination.