A. Use the data below for the following questions. Here are the numbers of wins the New York Yankees for each of the 10 seasons that preceded those in #10:

Year	Wins
2002	103
2001	95
2000	87
1999	98
1998	114
1997	96
1996	92
1995	79
1993	88
1992	76

a. Calculate the sum of squares.

b. Calculate the sample variance.

c. Calculate the sample standard deviation.

d. Calculate the estimate of the population variance.

e. Calculate the estimate of the population standard deviation.

B. Use the data below for the following questions.

8 9 7 10 6 9 8 9 5 9

a. Calculate the sum of squares.

b. Calculate the sample variance.

c. Calculate the sample standard deviation.

C. Using the data in #12, add a constant of 5 to each value and then answer each of the following questions.

a. Calculate the sum of squares.

b. Calculate the sample variance.

c. Calculate the sample standard deviation.

D. Using the data in #12, multiple each value by a constant of 2 and then answer each of the following questions.

a. Calculate the sample mean.

b. Calculate the sum of squares.

c. Calculate the sample variance.

d. Calculate the sample standard deviation.

E. Compute the variance and standard deviation for the following eight scores: { 6, 10, 8, 8, 10, 8, 6, 8 }. Now, generate a new set of five scores by adding a constant of 3 to each original score. Compute the variance and standard deviation for the new scores. What are the effects of adding a constant on the variance and on the standard deviation?

F. How does the standard deviation help you interpret a set of data?

Use the following for letters G - J: A political scientist studied how satisfied people were with the President's job performance and Congress' job performance. Each person was given a job performance satisfaction test on which scores ranged from 1 to 7, with higher scores indicating more satisfaction. The scores were:

Individual	President's Job Performance	Congress Job Performance
A	2	1
B	5	3
C	6	3
D	7	5
E	5	3

G. Compute the mean of the satisfaction ratings for the President's and Congress' job performance.

H. Compute the standard deviation for the satisfaction ratings for the President's and Congress' job performance.

Individual	President's Job Performance		Congress Job Performance
	X	(X - M)	(X - M)2		X	(X - M)	(X - M)2
A	2	-3	9		1	-2	4
B	5	0	0		3	0	0
C	6	1	1		3	0	0
D	7	2	4		5	2	4
E	5	0	0		3	0	0

I. Based on the results, whose job performance are people more satisfied with? Why?

J. Based on the results, which job performance ratings are more consistent? Why?