statistics

STATISTICS PROBLEM-SOLVING ASSIGNMENT 2

Compute the following: Proportions and percentage, ratios and rates

1. Read each of the following questions carefully calculate proportions, percentages and rates on data below.

Major Males Females Total

Humanities 117 83

Social Sciences 97 132

Natural Sciences 72 20

Business 156 139

Nursing 3 35

Education 30 15

Totals

a. What percentage of social science majors are male?_____________

b. What proportion of business majors are female?________________

c. For the humanities, What is the ratio of males to females?________

d. What percentages of the total student body are males?___________

e. What is the ratio of males to females for the entire sample?________

f. What proportion of the nursing majors are male_________________

g. What percentage of the sample are social science majors?_________

h. What is the ratio of humanities majors to business majors_________

i. What is the ratio of female business majors to female nursing majors

Majors?__________

j. What proportion of the male are education majors?________________

Frequency distribution

Ungrouped data

1. Construct a frequency distribution on the information below. Indicate what level of measurement

Students in a theater arts appreciation class rated the film Gone with the Wind on a 10-point scale, ranging from 1 (poor) to 10 (excellent), as follows:

3 7 2 7 8

3 1 4 10 3

2 5 3 5 8

9 7 6 3 7

8 9 7 3 6

2. Construct a frequency/ percentage on the data below and indicate what level of measurement data.

Data from Counseling Center Survey

________________________________________________________________________________

Student Sex Marital Status Satisfaction

With Services Age

A Male Single 4 18

B Male Married 2 19

C Female Single 4 18

D Female Single 2 19

E Male Married 1 20

F Male Single 3 20

G Female Married 4 18

H Female Single 3 21

I Male Single 3 19

J Female Divorced 3 23

K Female Single 3 24

L Male Married 3 18

M Female Single 1 22

N Female Married 3 26

O Male Single 3 18

P Male Married 4 19

Q Female Married 2 19

R Male Divorced 1 19

S Female Divorced 3 21

T Male Single 2 20

___________________________________________________________________________________________________________________________________________

Grouped Frequencies

1. Construct a Grouped Frequency Distribution

52 47 17 92

53 23 28 90

17 63 17 17 23

19 66 10 20 47

20 66 5 25 17

10 82 90 40 45

91 82 52 20

75 32 75 60 60

80 30 70 65 52

90 29 70 66 55

2. Construct a Grouped Frequency Distribution on the data below

18 60 57 27 19

20 32 62 26 20

25 35 75 25 21

30 45 67 41 30

37 47 65 42 25

18 51 22 52 30

22 18 27 53 38

27 23 32 35 42

32 37 32 40 45

55 42 45 50 47

Compute Cumulative frequencies and cumulative percentages on the information below

Cumulative Frequencies and Cumulative percentages

Cumulative

f Cf Percentages Percentage

67-71 2

62-66 1

57-61 2

52-56 4

47-51 6

42-46 7

37-41 8

32-36 5

27-31 2

22-26 0

17-21 2

12-16 1

______

N= 40

______________________