# Statistics- An insurance company evaluates many numerical variables

Question

I need this with step-by-step, please. If possible asap or within 30 hours.

Question 1

1. An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.

X f

1 10

2 20

3 12

4 5

5 1

How many drivers are represented in the sample?

5

15

48

50

1 points

Question 2

1. An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.

X f

1 10

2 20

3 15

4 4

5 1

How many claims are represented in the sample?

116

50

111

118

1 points

Question 3

1. At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.

X f

1 8

2 4

3 11

4 8

5 4

How many regional offices are represented in the survey results?

5

11

35

40

1 points

Question 4

1. At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.

X f

1 10

2 4

3 16

4 8

5 2

How many employees were supervised by those surveyed?

15

40

108

123

1 points

Question 5

1. The width of each bar in a histogram corresponds to the

differences between the boundaries of the class.

number of observations in each class.

midpoint of each class.

percentage of observations in each class.

1 points

Question 6

1. Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f

is the number of graduating seniors in each category.

.jpg” alt=”https://learn.ufs.ac.za/courses/1/M201602265/ppg/respondus/exam_Tut_2_sem1_2016/image00156c3185f.jpg”>

How many graduating seniors attended the luncheon?

4

152

275

388

1 points

Question 7

1. Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f

is the number of graduating seniors in each category.

.jpg” alt=”https://learn.ufs.ac.za/courses/1/M201602265/ppg/respondus/exam_Tut_2_sem1_2016/image00256c3185f.jpg”>

If all the tickets purchased were used, how many guests attended the luncheon?

4

152

275

388

1 points

Question 8

1. A professor of economics at a small university wanted to determine what year in school students was taking his economics course. Shown below is a pie chart of the results. What percentage of the class took the course prior to reaching their senior year?

.jpg” alt=”https://learn.ufs.ac.za/courses/1/M201602265/ppg/respondus/exam_Tut_2_sem1_2016/image00356c3185f.jpg”>

14%

44%

54%

86%

1 points

Question 9

1. When constructing charts, the following is plotted at the class midpoints:

frequency histograms.

frequency polygons.

cumulative percentage polygon (ogives).

all of the above

1 points

Question 10

1. The following are the duration in minutes of a sample of long-distance phone calls.

Relative

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

What is the width of each class?

4 minutes

2 minutes

2%

100%

1 points

Question 11

1. The following are the duration in minutes of a sample of long-distance phone calls.

Relative

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 1 000 calls were randomly sampled, how many calls lasted under 8 minutes?

850

370

410

590

1 points

Question 12

1. The following are the duration in minutes of a sample of long-distance phone calls.

Relative

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 100 calls were randomly sampled, how many calls lasted 6 minutes or longer?

12

15

25

75

1 points

Question 13

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 20 calls lasted 10 minutes or more, how many calls lasted less than 4 minutes?

110

195

125

200

1 points

Question 14

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

What is the cumulative relative frequency for the percentage of calls that lasted under 6 minutes?

0.45

0.60

0.75

0.84

1 points

Question 15

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

What is the cumulative relative frequency for the percentage of calls that lasted 8 minutes or more?

0.08

0.25

0.15

0.75

1 points

Question 16

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 100 calls were randomly sampled, ________ of them would have lasted at least 4 minutes but less than 8 minutes

25

35

10

55

1 points

Question 17

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 80 calls were sampled, ________ of them would have lasted less than 15 minutes.

62

75

80

46

1 points

Question 18

1. The following are the duration in minutes of a sample of long-distance phone calls.

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

If 100 calls were sampled, ________ of them would have lasted 10 minutes or more.

20

10

12

8

Question 19

1. The following are the duration in minutes of a sample of long-distance phone calls.

Relative

Time (in Minutes) Frequency

0 but less than 2 0.30

2 but less than 4 0.20

4 but less than 6 0.25

6 but less than 8 0.10

8 but less than 10 0.07

10 but less than 12 0.05

12 or more 0.03

0 but less than 5 0.37

5 but less than 10 0.22

10 but less than 15 0.15

15 but less than 20 0.10

20 but less than 25 0.07

25 but less than 30 0.07

30 or more 0.02

If 100 calls were sampled, ________ of them would have lasted less than 2 minutes or at least 10 minutes or more.

38

37

39

40

1 points

Question 20

1. In a survey, 150 executives were asked what they think is the most common mistake candidates make during job interviews. Six different mistakes were given. Which of the following is the best for presenting the information?

a bar chart

a histogram

a stem-and-leaf display

a contingency table

1 points

Question 21

1. When constructing a frequency distribution, classes should be selected so that they are of different width.

True

False

1 points

Question 22

1. If the values of the seventh and eighth class in a cumulative percentage distribution are the same, we know that there are no observations in the seventh class.

True

False

1 points

Question 23

1. The original data values can be determined once they are grouped into a frequency distribution table.

True

False

1 points

Question 24

1. The relative frequency is the frequency in each class multiply with the total number of observations.

True

False

1 points

Question 25

1. A histogram can have gaps between the bars, whereas bar charts cannot have gaps.

True

False

1 points

Question 26

1. Histograms and bar charts are used for numerical data.

True

False

1 points

Question 27

1. To determine the width of class interval, divide the number of class groups by the range of the data.

True

False

1 points

Question 28

1. The relative distribution cannot be constructed from the frequency distribution directly.

True

False

1 points

Question 29

1. A polygon can be constructed from a bar chart.

True

False

1 points

Question 30

1. The figure below is the ogive for the amount of fat (in grams) for a sample of 36 pizza products where the upper boundaries of the intervals are: 5, 10, 15, 20, 25, and 30.

.jpg” alt=”https://learn.ufs.ac.za/courses/1/M201602265/ppg/respondus/exam_Tut_2_sem1_2016/image00456c3185f.jpg”>

Roughly what percentage of pizza products contains less than 10 grams of fat?

5%

15%

50%

65%

1 points

Question 31

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Define the random variable

Marks

Out of 20

Class test

Class Average

1 points

Question 32

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Define the data type

Discrete

Continuous

Nominal

Ordinal

1 points

Question 33

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

What is the range?

19

2

15

17

1 points

Question 34

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

What is the number of classes?

6

5

7

4

1 points

Question 35

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of A in the table?

2

5

8

11

1 points

Question 36

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of B in the table?

6.5

9.5

15.5

18.5

1 points

Question 37

1. The marks obtained in the previous class test out of 20 were as follows:

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of C in the table?

3

1

2

4

1 points

Question 38

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of D in the table?

8

7

9

3

1 points

Question 39

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of E in the table?

3

18

23

10

1 points

Question 40

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A – )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of F in the table?

30

10

18

23

1 points

Question 41

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of G in the table?

0.033

0.067

0.1

0.133

1 points

Question 42

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of H in the table?

30%

10%

0.333

0.6

1 points

Question 43

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of I in the table?

0.067

0.167

0.30

0.10

1 points

Question 44

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

2.

What is the value of J in the table?

0.167

0.033

0.1

0.267

Question 45

19 10 9 8 14 11 11 12 11 9 19 19 17 10

13 18 16 17 5 14 11 15 18 12 8 7 10 16

4 12

Make the class width 3 and the lower limit of the first class 2. With the given data complete the following table:

Intervals /Intervalle

Class Midpoints /Klasmiddelpunte

Frequencies /Frekwensies

Cumulative frequency /Kumulatiewefrekwensies

Relative Cumulative frequency /Relatiewe Kumulatiewefrekwensies

Relative frequency /Relatiewefrekwensie

[ – )

G

[ – )

C

E

I

[ A- )

B

[ – )

H

[ – )

F

J

[ – )

D

Total

K

2.

What is the value of K in the table?

25

28

20

30

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