Deck 16: Budgeting and Business Statistics

Question 1

Use the data to complete the table.
The following is the number of hours students studied per week on average.

A)Frequency: 2, 4, 4, 6, 4
B)Frequency: 2, 3, 6, 5, 4
C)Frequency: 2, 4, 5, 5, 4
D)Frequency: 2, 4, 5, 4, 5

Answer 1

Frequency: 2, 4, 5, 5, 4

Question 2

The bar graph shows the percent of income spent on leisure activities in various countries of the world. Use the graph to answer the question.
List all countries in the graph in which less than 12% of household income is spent, on average, for leisure activities.

A)Germany, Britain, Japan, USA
B)China, Australia
C)China, Australia, France
D)China, Australia, France, Germany

Answer 2

China, Australia, France

Question 3

Provide an appropriate response.
List the advantages and disadvantages of using a bar graph to present data.

Answer 3

Answers will vary.

Question 4

Find the weighted mean. Round to the nearest tenth.

A)253.2
B)54.2
C)230.1
D)307.7

Question 5

The bar graph shows the percent of income spent on leisure activities in various countries of the world. Use the graph to answer the question.
In which country is the lowest percent of income spent on leisure activities? What percent is this?

A)China; 94.4%
B)Australia; 8.3%
C)USA; 70.6%
D)China; 5.6%

Question 6

Describe the distributions with a pie chart.
The following figures give the distribution of land (in acres)of a county containing 67,000 acres.

A)
B)

Question 7

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
Less than 30 years of age

A)22
B)18
C)29
D)36

Question 8

Answer the following. Round all numbers to the nearest dollar.
Helena is a college student. She works part-time as a barista and earns about $325 a week after taxes, including tips. She has a scholarship that pays $1500 per semester and she attends two semesters a year. She hopes to work full-time in the summer and should make $2800 a month after taxes for 3 months, not including the $325 she will also earn as a barista through the summer. She uses her dad's car at no cost other than gasoline and her own car insurance. She lives at home for free and quickly jots down these ongoing expenses. To make it easy, assume the income she receives in the summer as well as the scholarship funds are spread out over 12 months in equal amounts. Find her average monthly after-tax income, average monthly expense based on the numbers above, and the difference between the two. What expenses has she not considered that she should have? Based on the numbers above, how much does she need to borrow per month on average? Assuming all numbers stay the same and ignoring anything she might have failed to list, find the debt she will accumulate in an interest-free Stafford loan if she goes to school for 4 years (assume 48 months.)

Question 9

Find the mode or modes.
20, 28, 46, 28, 49, 28, 49

A)35.4
B)49
C)28
D)46

Question 10

Provide an appropriate response.
Explain the purpose of a comparative line graph.

Question 11

Use the data to complete the table.
On a 25-point math test student scores were as follows.

A)Frequency: 3, 3, 5, 4, 5
B)Frequency: 3, 3, 4, 6, 4
C)Frequency: 3, 3, 5, 5, 4
D)Frequency: 3, 2, 6, 5, 4

Question 12

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
10 years of age or older but less than 40 years of age

A)65
B)11
C)51
D)24

Question 13

Find the median.
Number of calls in queue: 41, 25, 8, 3, 24, 23, 29, 32, 40, 38

A)24
B)29
C)26
D)26.5

Question 14

Provide an appropriate response.
Explain why or when the median is a better average to use than the mean.

Question 15

Answer the following. Round all numbers to the nearest dollar.
Jackson has just divorced and must pay child care to his ex. He earns $52,800 a year after income taxes from his job. He has some stock that pays a dividend of $429 per quarter. He lists "Other expenses" at $900 per month as he isn't quite sure yet what they will be, given that his car is getting old and may need replacement. Find his average monthly-after tax income, average monthly expense based on the numbers above, and the difference between the two. Based on your experience, is his budget reasonable? Does he have enough income?

Question 16

Solve the following circle graph problems.
If savings are represented by 45° on a circle graph showing all expenses, and the total expenses are $1,392, how much go into savings?

A)$174
B)$290
C)$232
D)$116

Question 17

Solve the problem.
A company that manufactures computer chips wants to determine how many defective chips are in ten batches to be shipped. A quality control team samples 250 chips from each batch of 1000 and
Finds the following defective chips per batch: 38, 14, 6, 4, 27, 12, 22, 35, 36, 31. Find the median
Number of defective chips.

A)24.5 chips
B)22 chips
C)27 chips
D)23 chips

Question 18

Find the median.
Number of orders: 6, 4, 25, 10, 28, 40, 36, 36

A)28
B)26.5
C)23.5
D)25

Question 19

Find the median.
Cost of cellular phones: $100, $33, $224, $118, $286, $236, $230

A)$224
B)$230
C)$175
D)$118

Question 20

Provide an appropriate response.
Describe some situations where the mode is the best average to use to describe data.

Question 21

Solve the following circle graph problems.
If total expenses are $1,100 and miscellaneous expenses account for $55, how many degrees in a circle graph would miscellaneous expenses represent?

A)60°
B)72°
C)54°
D)18°

Question 22

Use this graph to answer the question.
What was the total increase in sales for the first 6 months from 2009 to 2010?

A)$18,000
B)$76,000
C)$12,000
D)$652,000

Question 23

Use this graph to answer the question.
What were the total sales for 2010?

A)$60,000
B)$72,000
C)$578,000
D)$764,000

Question 24

Describe the distributions with a pie chart.
The following figures give the economic distribution for 5,000 people who live in a certain county.

A)
B)

Question 25

Find the mode or modes.
81, 35, 32, 35, 29, 81

A)35
B)48.8
C)81, 35
D)81

Question 26

Find the weighted mean. Round to the nearest tenth.

A)321.3
B)247.3
C)91.1
D)285.6

Question 27

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
10 years of age or older

A)7
B)11
C)93
D)82

Question 28

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
30 years of age or older

A)58
B)42
C)64
D)22

Question 29

Make a line graph using the given frequencies.

A)
B)
C)
D)None of the above

Question 30

Find the grade point average for the following student. Assume A = 4, B = 3, C = 2, D = 1, and F = 0. Round answer to the nearest tenth.

A)2.1
B)4.1
C)3.1
D)9.4

Question 31

Find the median.
Salaries of doctors: $115,000, $123,000, $181,000, $202,000, $238,000, $128,000, $124,000, $ 899,000, $206,000, $158,000

A)$169,500
B)$237,000
C)$181,000
D)$263,000

Question 32

Find the mean. Round to the nearest tenth unless otherwise stated.
Number of days spent working out in a month: 14, 11, 6, 19, 18, 4, 13, 3

A)10
B)17
C)11
D)12.6

Question 33

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
Less than 40 years of age

A)58
B)72
C)22
D)14

Question 34

Find the median.
Monthly net gains: $8,768, $1,824, $1,462, $6,358, $8,523, $3,644, $2,049, $8,372, $5,460, $4,492

A)$5,661.33
B)$5,095.20
C)$4,976.00
D)$5,460.00

Question 35

Find the weighted mean. Round to the nearest tenth.

A)27.4
B)2.5
C)26.3
D)28.3

Question 36

Find the grade point average for the following student. Assume A = 4, B = 3, C = 2, D = 1, and F = 0. Round answer to the nearest tenth.

A)4.0
B)2.4
C)11.0
D)3.5

Question 37

Use this graph to answer the question.
What were the sales in month 8 of 2010?

A)$50,000
B)$62,000
C)$64,000
D)$66,000

Question 38

Use this graph to answer the question.
What was the total increase in sales from 2009 to 2010?

A)$12,000
B)$1,342,000
C)$22,000
D)$182,000

Question 39

Make a bar graph using the given frequencies.
The frequency distribution indicates the height in feet of persons in a group of 135 people.

A)
B)
C)
D)

Question 40

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
30 years of age or older but less than 40 years of age

A)36
B)18
C)22
D)64

Question 41

Solve the following circle graph problems.
If total expenses are $1,025 and the cost of food is $205, how many degrees in a circle graph would food represent?

A)60°
B)72°
C)54°
D)90°

Question 42

Use this graph to answer the question.
What were the total sales for the first 6 months of 2010?

A)$64,000
B)$286,000
C)$366,000
D)$302,000

Question 43

Solve the problem.
The batting percentages of some of the players on the company softball team are .221, .332, .206, .292, .240, .308, and .275. What is the mean batting percentage of these players? Round to the
Nearest thousandth.

A).268
B).281
C).312
D).244

Question 44

Solve the following circle graph problems.
If total expenses are $960 and the cost of books is $48, how many degrees in a circle graph would books represent?

A)22.5°
B)20°
C)18°
D)15°

Question 45

Find the mean. Round to the nearest tenth unless otherwise stated.
Grocery expenses for the past six months: $49.36, $60.82, $42.76, $85.20, $41.14, $83.74. Round to the nearest cent.

A)$60.60
B)$90.76
C)$72.60
D)$60.50

Question 46

Use this graph to answer the question.
What were the total sales for 2009?

A)$50,000
B)$582,000
C)$764,000
D)$48,000

Question 47

Find the mean. Round to the nearest tenth unless otherwise stated.
Retirement ages of teachers: 51, 63, 64, 56, 67, 58, 68, 53, 57

A)59
B)58.4
C)59.7
D)58

Question 48

Describe the distributions with a pie chart.
The following data give the color distribution of 1,000 carnations ordered by a local florist.

A)
B)

Question 49

Find the mean. Round to the nearest tenth unless otherwise stated.
Annual salaries: $21,096, $18,265, $30,962, $24,944 Round to the nearest whole number.

A)$23,817
B)$21,096
C)$23,816
D)$18,265

Question 50

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
More than 40 years of age

A)No answer possible
B)28
C)14
D)42

Question 51

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
Less than 20 years of age

A)18
B)29
C)9
D)36

Question 52

Solve the problem.
Customer relations specialists need to respond to email messages in addition to taking calls. The department is thinking of creating a new position that will solely handle email. The supervisor
Records the number of email messages received for eight consecutive days: 5, 4, 25, 11, 27, 42, 39, 34.
Find the median number of email messages received.

A)27 email messages
B)26 email messages
C)25 email messages
D)23.5 email messages

Question 53

Make a line graph using the given frequencies.
The ages of employees of a company are summarized in the frequency table.

A)
B)
C)
D)None of the above

Question 54

Make a bar graph using the given frequencies.
The frequency distribution indicates the test averages of a group of 336 students.

A)
B)
C)
D)

Question 55

Use the data to complete the table.
The following is the number of hours students worked per week at after-school jobs.

A)Frequency: 3, 3, 5, 5, 4
B)Frequency: 3, 4, 4, 5, 4
C)Frequency: 3, 4, 4, 4, 5
D)Frequency: 3, 4, 3, 6, 4

Question 56

The bar graph shows the percent of income spent on leisure activities in various countries of the world. Use the graph to answer the question.
In which country is the highest percent of income spent on leisure activities? What percent is this?

A)China; 93.9%
B)Japan; 25.7%
C)USA; 29.2%
D)USA; 70.8%

Question 57

Find the median.
Number of miles driven: 21, 21, 34, 53, 61, 69, 84

A)61
B)34
C)49
D)53

Question 58

The bar graph shows the percent of income spent on leisure activities in various countries of the world. Use the graph to answer the question.
List all countries in the graph in which more than 15% of household income is spent, on average, for leisure activities.

A)Japan, USA
B)Germany, Britain, Japan, USA
C)China, Australia, France, Germany
D)Britain, Japan, USA

Question 59

Describe the distributions with a pie chart.
The following data give the distribution of the types of houses in a town containing 15,000 houses.

A)
B)

Question 60

Find the median.
Number of customers: 277, 399, 146, 451, 149, 226

A)277
B)226
C)251.5
D)235.5

Question 61

Describe the distributions with a pie chart.
After reviewing a movie, 300 people rated the movie as excellent, good, or fair. The following data give the rating distribution.

A)
B)

Question 62

Find the mean. Round to the nearest tenth unless otherwise stated.
Scores on an aptitude test: 576, 561, 346, 356, 547, 341, 358, 553, 470, 482

A)450
B)476
C)459
D)468.4

Question 63

Find the mean. Round to the nearest tenth unless otherwise stated.
Number enrolled in a night class: 13, 16, 14, 13, 11

A)13
B)12
C)13.4
D)16.8

Question 64

Make a line graph using the given frequencies.
A medical research team studied the ages of patients who had strokes caused by stress. The results of 34 patients are as follows:

A)
B)
C)
D)None of the above

Question 65

Use this graph to answer the question.
Which month in 2010 had the lowest sales?

A)Month 2
B)Month 12
C)Month 3
D)Month 7

Question 66

Use the data to complete the table.
The following is the number of bonus points that 24 students have received for extra work.

A)Frequency: 2, 6, 4, 7, 3, 2
B)Frequency: 2, 6, 5, 6, 3, 2
C)Frequency: 2, 6, 5, 5, 4, 2
D)Frequency: 2, 5, 6, 6, 3, 2

Question 67

Solve the following circle graph problems.
If rent is represented by 54° on a circle graph showing all expenses, and the cost of rent is $765, how much are the total expenses?

A)$4,590
B)$5,100
C)$6,375
D)$6,120

Question 68

Solve the following circle graph problems.
If entertainment is represented by 72° on a circle graph showing all expenses, and the cost of entertainment is $200, how much are the total expenses?

A)$1,000
B)$880
C)$1,200
D)$800

Question 69

Solve the problem.
The five sales people at Southwest Appliances earned commissions last year of $15,000, $29,000, $46,000, $20,000, and $34,000. Find the mean commission.

A)$27,360
B)$31,680
C)$30,240
D)$28,800

Question 70

Find the mode or modes.
7.14, 7.41, 7.56, 7.14, 7.88, 7.99, 7.62

A)7.56
B)7.534
C)7.41
D)7.14

Question 71

Find the grade point average for the following student. Assume A = 4, B = 3, C = 2, D = 1, and F = 0. Round answer to the nearest tenth.

A)3.8
B)1.4
C)10.0
D)2.4

Question 72

Find the mode or modes.
5, 9, 85, 3, 2, 8, 46, 1, 4, 16

A)9
B)8
C)No mode
D)17.3

Question 73

Find the median.
Number of phone calls: 4, 5, 17, 28, 30, 37, 49

A)30
B)17
C)24
D)28

Question 74

This frequency table gives the distribution of ages of 100 people in a small town. How many people are:
More than 50 years of age

A)15
B)42
C)No answer possible
D)28

Question 75

Find the weighted mean. Round to the nearest tenth.

A)23.6
B)22.3
C)26.0
D)7.2

Question 76

Find the weighted mean. Round to the nearest tenth.

A)27.3
B)25.3
C)8.7
D)23.4

Question 77

Use this graph to answer the question.
Which month in 2009 had the highest sales?

A)Month 12
B)Month 5
C)Month 2
D)Month 9

Question 78

Find the mean. Round to the nearest tenth unless otherwise stated.
Average number of defects: 7.4, 8.3, 8.1, 7.8, 8.2, 7.4, 7.9, 8.1, 8.9, 7.4, 7.8, 6.5, 8.6, 8.3, 8.3, 7.9, 8.2, 7.9

A)8.4
B)7.5
C)7.9
D)8.2

Question 79

Find the mean. Round to the nearest tenth unless otherwise stated.
Snow accumulation: 9, 9.4, 7.2, 9.4, 7

A)7
B)9.4
C)9
D)8.4

Question 80

Solve the following circle graph problems.
If clothing is represented by 60° on a circle graph showing all expenses and the total expenses are $1,368, how much are the clothing expenses?

A)$342
B)$228
C)$285
D)$171