Compute the variance-standard deviation


Discuss the below:

Q1: The file Sedans contains the overall miles per gallon (MPG) of 2009 sedans priced under $20,000.

27 31 30 28 27 24 29 32
32 27 26 26 25 26 25 24

a. Compute the mean, medium, and mode.

b. Compute the variance, standard deviation, range, coeffifient of variation, and Z scores.

c. Are the data skewed? If so, how?

d. Compare the results of (a) through © to those of Problem 3.12(a) through © that refer to the miles per gallons of SUVs priced under $30,000.

Q2: General Electric (GE) is one of the world's largest companies; it develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. Through its affiliate, NBC Universal, GE produces and delivers network television and motion pictures. In 2007, GE's stock price rose 2.67%, but in 2008, the price dropped 53.94%.

a. Compute the geometric mean rate of increase for the two-year period 2007-2008. (Hint: Denote an increase of 2.67% as R1 = 0.0267.)

b. If you purchased $1,000 of GE stock at the start of 2007, what was its value at the end of 2008?

c. Compare the results of (b) to that of Problem 3.20(b)

Q3: The file contains the yield for a money market account, a one year certificate of deposit(CD) and a five year CD for 23 banks in the Metropolitan NY area, as of May 28, 2009. For each type of account:

a. Compute the first quartile(Q1,) the third quartile (Q3), and the enter quartile range.

b. List the five number summary.

c. Construct a boxplot and describe it shape.

Money Market

One-Year CD

Five-Year CD

0.60

1.00

1.85

1.75

2.00

3.30

0.01

0.25

1.50

1.00

2.00

3.10

0.75

1.50

3.25

1.25

2.30

3.70

1.20

2.05

3.00

0.50

1.75

3.00

2.00

1.65

2.80

1.75

2.25

2.50

2.12

1.35

3.50

1.90

2.20

3.66

1.20

2.10

3.30

0.20

2.00

1.70

0.20

2.00

1.70

0.25

1.75

3.30

0.20

2.00

1.70

0.25

1.75

3.00

0.20

2.00

1.70

0.60

1.20

1.65

2.00

2.24

3.25

2.02

0.75

1.00

0.02

0.85

1.16

Q4:College football players trying out for the NFL are given the Wonderlic standardized intelligence test. The file Wonderlic contains the average Wonderlic scores of football players trying out for the NFL and the graduation rate S. Walker, "The NFL's Smartest Team," The Wall Street Jaournal, September 30, 2005, pp. W1, W10).

a. Construct a scatter plot with average Wonderlic score on the X axis and graduation rate on the Y axis.

b. What conclusions can you reach about the relationship between the average Wonderlic score and graduation rate?

School

Wonderlic

Graduation%

Stanford

28.8

85

Purdue

25.3

63

California

25.2

48

UCLA

24.0

55

Oregon

23.5

68

Wisconsin

23.2

56

Iowa

23.0

58

Oregon State

22.8

44

Nebraska

22.6

63

Notre Dame

22.5

77

Boston College

22.0

78

Colorado

21.8

43

Michigan

21.7

57

Virginia

21.5

75

Texas A & M

21.0

50

Florida

20.8

42

Ohio State

20.8

52

Penn State

20.7

74

Virginia Tech

20.7

58

Southern California

20.3

58

West Virginia

20.3

46

Arizona State

20.2

44

Kansas State

19.8

61

Georgia

19.8

53

Texas

19.7

34

North Carolina State

19.6

42

Florida State

19.4

49

Oklahoma

19.0

40

North Carolina

18.9

53

Arkansas

18.6

35

Auburn

18.5

48

LSU

18.5

42

Clemson

18.3

51

Alabama

18.2

49

South Carolina

17.9

54

Tennessee

17.7

38

Michigan State

16.6

41

Miami (Florida)

16.3

57

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Basic Statistics: Compute the variance-standard deviation
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