Chapter 4

Problems Solved

Data Exploring and Displaying

:Data Describing

Problem 4-5

3,627,629621,623,62 c.•

5 b.•

629 to621 a.•

Problem 4-10

Stem Leaves

3 6

4 7

5 22499

6 0113458

7 035678

8 0344447

9 055

Problem 4-11

100

p

100

50

100

25

100

75

55 Q•

9 1)(11 L•

49 Q•

3 1)(11 L•

53 Q•

6 1)(11 L•

1)(n L•

11 n 59 , 55 55, 54, 54, 53, 51, 49, 49, 47, 46,•

3

75

1

25

2

50

Problem 4-13(a)

10025

10025

10075

50.25 .25(1)50 Q

50)-.25(5150 Q

23.25 1)(30 L

1)(n L

33.25 2.2531 .75(3)31 Q

31)-.75(3431Q

7.75 1)(30 Q

1)(n L

7,8254,56,62,6,50,51,53,5,47,47,4741,41,41,4

7,3835,35,36,3,34,34,34,0,26,27,3113,13,13,2 are valuesThe

3

3

75

75

1

1

1

25

10075

Problem 4-13(b & c)

100

20

100

20

100

80

100

80

100

P

100

67

47P

)4747(77.47P

20.77 1)(30 1)(n L

c

52.6 .8(2)51 D

51)-.8(5351 D

24.8 L

1)(30 1)(n L

27.8 .2(4)27 D

27)-.2(3127 D

6.2 1)(30 1)(n L

b

67

67

67

8

8

80

80

2

2

20

Problem 4-19(Data)

X 2

36 5.2 27.04

26 -4.8 23.04

33 2.2 4.84

28 -2.8 7.84

31 .2 .04

(X - X)2 = 62.80 X = 154

XX XX

Prob 4-19 cont’d

6815.

%857.121008.30

96.3..

15.96.3

318.3033

96.3

68.154

8.621

22

31

8.305

154

XS

VC

SMedianX

SK

S

nXX

S

Median

nX

X

Problem 4-19(from previous edition)

2.710

72

n

xxMD

8.06 (100).25/3.10 100)X /(S CV•

.25 S •

3.10 X•

Problem 4-20 (from previous edition)

XD = 47 X0 = 78

SD = 10 S0 = 15

CV = (S /X) ×(100)

CVD = (10/47) ×(100) = 21.28%

CVO = (15/78) ×(100) = 19.23%

Problem 4-22 (from previous edition)

• X<10 = $5.25 X>60 = $92.50

• S<10 = $1.52 S>60 = $5.28

• CV = (S /X) ×(100)• CV>60 = (5.28/92.5) × 100 = 5.71%

• CV<10 = (1.52/5.25) × 100 = 28.95%

Problems 4-24, 25, 364.24.• a. 15• b. More labor hours are required as the

number of rooms increases.

4.25. a. Both variables are nominal.• b. Contingency table• c. Yes, because 32% is more than twice 15%.

4.26. a. Opinion is ordinal and number of shares is ratio.

• b. Contingency table• c. Those who own over 1000 shares.