# SUNY at Stony Brook Statistics Statement Review Worksheet

EXAM # 1 REVIEW100 PTSChapter 1

➢ Identification of 2 statements as examples of nominal, ordinal,

discrete, or continuous variables.

➢ Select twenty employees currently working at a local supermarket and

collect data for the Following four variables:

W: Marital status

X: number of children they have

Y: total cost of cloth and toys they spend every year for their children

Z: method of payment used for purchasing cloth and toys – Classify the three

variables as nominal, ordinal, discrete, or continuous.

Chapter 2

Pareto Diagram picturing the “Presents not wanted”.

➢ What not to get them on Valentines Day! A recent study among adults in

USA shows that adults prefer not to receive certain items as gifts on

Valentine’s Day as shown below:

Teddy bears: 5%; Chocolate: 25%; Jewelry: 15%; Flowers: 12%; Don’t

Know: 3%.

➢ The final-inspection defect report for an assembly line is reported on the

table and Pareto diagram as shown below:

Defect

Count

Blemish Scratch Chip Bend Dent Others

61

50

28

17

13

11

a) What is the total defect count in the report?

b) Find the percentage for “chip” defect items.

c) Find the “cum % for bend”, and explain what that value means.

➢ The ages of 50 students who are attending a community college in Iowa

are shown below:

20

18

21

19

21

20

21

19

20

19

19

19

22

21

21

21

18

19

22

21

21

22

18

21

19

22

21

20

20

19

1

19

24

23

22

20

19

20

19

20

19

21

24

19

21

19

19

17

20

20

19

You need to know how to prepare an ungrouped frequency distribution of

these ages and an ungrouped relative frequency distribution of the same

data.

➢ You must know how to calculate sample mean, how to find the variance

and the standard deviation

➢ The points scored by the winning teams on opening night of a recent NBA

season are shown in the table below:

Team Detroit Dallas Chicago

Score

90

110

92

Please practice on how to draw a bar graph of these scores using a vertical

scale ranging from 80 to 120.

➢ Below are the ACT scores attained by the 11 members of a local high

school graduating class.

23 26

25

19

33

21

21

22

21

27 28

Practice drawing a dot plot of the ACT scores.

FIND THE MEAN, FIND THE MODE, FIND THE MEDIAN & FIND THE

MID RANGE

Chapter 3

➢ Consider the following bivariate data, extensions, and totals:

x

2

3

4

5

5

7

7

33

y

14

13

11

8

9

4

3

62

4

9

16

25

25

49

49

177

xy

28

39

44

40

45

28

21

245

196

169

121

64

81

16

9

656

2

.A- Find SS(x).

B- Find SS(y).

C-Find SS(xy). (

➢ What does the value of r tell you?

➢ Explain the meaning of the y-intercept. Explain the meaning of the

slope.

3

Student Push-ups

(X)

1

27

2

22

3

15

4

35

5

30

6

52

7

35

8

55

9

40

10

40

Sum

351

∑X =351

X2

729

484

225

1225

900

2704

1225

3025

1600

1600

Sit-ups

(Y)

30

26

25

42

38

40

32

54

50

43

13717

380

∑X2=13717 ∑Y=380

Y2

XY

900

676

625

1764

1444

1600

1024

2916

2500

1849

810

572

375

1470

1140

2080

1120

2970

2000

1720

15298

14257

∑Y2=15298 ∑XY =14257

3,34

3,35

3,38

3,5

3,55

3,6

3,69

3,81

3,89

3,91

3,92

3,95

3,95

3,99

4,07

4,11

4,24

4,27

4,3

4,35

4,43

4,51

4,54

4,56

4,64

4,71

4,74

4,75

4,83

4,84

4,88

4,88

4,89

4,95

4,95

4,97

4,99

5,05

5,06

5,1

Min

Max

Range

No of classes

3,34

5,1

1,76

8

Class width

0,22

Frequency distribution

Bin

3,34

3,56

3,78

4

4,22

4,44

4,66

4,88

5,1

More

Bin range

3,34-3,56

3,56-3,78

3,78-4

4-4,22

4,22-4,44

4,44-4,66

4,66-4,88

4,88-5,1

5,1-More

Mid point

3,45

3,67

3,89

4,11

4,33

4,55

4,77

4,99

Frequency

5

2

7

2

5

4

5

9

1

40

bin range

3,34

3,56

3,78

4,00

4,22

4,44

4,66

4,88

5,10

More

Relative frequency

0,125

0,05

0,175

0,05

0,125

0,1

0,125

0,225

0,025

1

Cumulative %

12,50%

17,50%

35,00%

40,00%

52,50%

62,50%

75,00%

97,50%

100,00%

Bin range

3,34-3,56

3,56-3,78

3,78-4

4-4,22

4,22-4,44

4,44-4,66

4,66-4,88

4,88-5,1

5,1-More

Frequency

5

2

7

2

5

4

5

9

1