Deck 1: An Introduction to Data and Functions

Question 1

Below is a pie chart of the sources of points in a College Algebra class.

According to the chart, what is the smallest source of points in the class?

Answer 1

Projects

Question 2

Below is a pie chart of the sources of points in a College Algebra class.

According to the chart, what is the smallest source of points in the class?

A) Tests
B) Final
C) Projects
D) HW

Answer 2

Projects

Question 3

Jeremy has instructed his accountant to split any deposits into his retirement account into the investments as shown in the pie chart.

If Jeremy deposits $11,000 into his retirement account, how much will his accountant allocate to bonds?

Answer 3

$ 3,300

Question 4

Jeremy has instructed his accountant to split any deposits into his retirement account into the investments as shown in the pie chart.

If Jeremy's accountant allocates $4,200 to global equities, how much was his investment into his retirement account?

Question 5

Jeremy has instructed his accountant to split a $12,000 deposit to his retirement account into the investments as shown in the pie chart.

What percent of his investment was allocated to global equities?

Question 6

Find the mean of the data set below.
43, 34, 46, 38, 43, 37, 42, 23, 27, 40, 43, 21
Round your answer to 2 decimal places.

Question 7

Find the mean of the data set below.
37, 69, 52, 40, 25, 64, 49, 73, 33, 66

A) 50.5
B) 49
C) 64
D) 50.8

Question 8

Find the median of the data set below.
28, 64, 37, 36, 19, 59, 44, 68, 28, 49, 63

Question 9

Find the median of the data set below.
44, 80, 65, 52, 35, 75, 53, 84, 44, 60, 79

A) 75
B) 61.00
C) 60
D) 53

Question 10

Find the median of the data set below.
28, 60, 46, 31, 13, 55, 40, 64, 24, 57

Question 11

Find the median of the data set below.
39, 71, 59, 42, 22, 66, 51, 75, 35, 68

A) 55
B) 52.8
C) 51
D) 59

Question 12

Here are the number of home runs that Babe Ruth hit in each of his 15 years with the New York Yankees, 1920 to 1934.
54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41, 34, 22
Calculate the each of the following for this data.
a) the mean
and
b) the median.
Round your answer to 2 decimal places.

Question 13

Find each of the following for the set of data: 20, 17, 21, 23, 19, 23, 25

A) the meanand
and
B) the median.Round your answer to 2 decimal places.

Question 14

On a recent test in a College Algebra class the following scores were recorded:

Find each of the following:

A) the meanand
and
B) the medianIf necessary, round answers to 2 decimal places.

Question 15

In a group of seven people the heights, in inches, of six are known to be 66, 61, 69, 69, 63, and 68. If the mean height of all seven people is 65, then what must the seventh height be?

Question 16

In a group of seven people the heights, in inches, of six are know to be 72, 69, 65, 67, 72, and 61.
If the median height of all seven people is 67, then what must the seventh (from largest to smallest) height be?

A) 67 or less
B) 67 or greater
C) 67
D) 70

Question 17

The frequency table below describes the age distribution of students in a college algebra class. Based on this information, estimate the largest and smallest possible values for the mean age of this class.

A) Find the smallest possible meanand
and
B) the largest possible mean.Round your answers to 2 decimals if necessary.

Question 18

The frequency table below describes the age distribution of students in a college algebra class. Based on this information, estimate the smallest possible value for the mean age of this class.

Which of the following is the smallest possible mean?
Round your answers to 2 decimals if necessary.

A) 19.53
B) 20.53
C) 20.03
D) 18.5

Question 19

The frequency table below describes the age distribution of students in a college algebra class. Based on this information, estimate the largest possible value for the mean age of this class.

Which of the following is the largest possible mean?
Round your answers to 2 decimals if necessary.

A) 19.00
B) 20.00
C) 19.5
D) 18.5

Question 20

The 1999 graduates of Bottom Line University all got great jobs. Their starting annual salaries are:
$36,000; $32,000; $42,000; $41,000; $40,000; $38,000; $60,000; $43,000; $52,000; and $2.3 million
(At 6'10'' "Hoops" Johnson is playing professional basketball.)

A) A headline in the alumni newsletter boasts "'1999 Graduates Highest Paid Yet. Salaries Average $_________" (Complete the headline.)
B) Is the mean or the median a better indication of what the graduates are typically making?

Question 21

The 2006 graduates of Bottom Line University all got great jobs. Their starting annual salaries are: $32,000; $50,000; $54,000; $60,000; $46,000; $46,000; $37,000; $53,000; $51,000; and $2.5 million
(At 6'10'' "Hoops" Johnson is playing professional basketball.)
Which of the mean or median is a better indication of what their graduates typically make?

A) mean
B) median

Question 22

For the following data:
61, 59, 77, 71, 66, 69, 73, 63, 66, 62, 79, 66, 71, 16, 74, 65, 60, 69, 78, 75, 73, 76, 66, 61, 77
Calculate

A) the mean (round to 2 decimal places),
B) the median, and
C) then identify any number that should be considered an outlier.Round your answer to 2 decimal places.

Question 23

For the following data:
51, 47, 63, 59, 54, 57, 61, 51, 54, 50, 65, 54, 59, 15, 62, 53, 50, 57, 64, 63, 61, 62, 54, 51, 65
Which of the following is the median?

A) 54
B) 55.28
C) 1,372
D) 57

Question 24

For the following data:
76, 74, 92, 86, 81, 84, 88, 78, 81, 77, 94, 16, 86, 81, 89, 80, 75, 84, 93, 90, 88, 91, 81, 76, 92
Which of the following should be considered an outlier?

A) 84
B) 81
C) 80.92
D) 16

Question 25

For the following data:
68, 67, 75, 78, 66, 77, 66, 68, 80, 75, 79, 11, 62, 75, 73, 63, 75, 71
Calculate

A) the mean (Round to 2 decimal places.),
B) the median, and
C) then identify any number that should be considered an outlier.Round your answer to 2 decimal places.

Question 26

For the following data:
64, 63, 72, 75, 62, 74, 62, 64, 77, 72, 76, 13, 58, 72, 70, 59, 72, 67
Calculate

A) the mean (Round to 2 decimal places.),
B) the median, and
C) then identify any number that should be considered an outlier.Round your answer to 2 decimal places.

Question 27

The table shows starting salaries from a survey of recent college graduates:

A) How many students were surveyed?
B) What is the relative frequency of a graduate having a salary between $11,000 and $15,000?
Round your answer to 2 decimal places.

Question 28

The table shows starting salaries from a survey of recent college graduates:

What is the relative frequency of a graduate having a salary between $16,000 and $20,000?
Round your answer to 2 decimal places.

Question 29

The table shows starting salaries from a survey of recent college graduates:

What is the relative frequency of a graduate having a salary between $36,000 and $40,000?
Round your answer to 2 decimal places, if necessary

A) 0.34
B) 5
C) 0.11
D) 0.26

Question 30

Below is age data from a University of Massachusetts college algebra class.
Which is the relative frequency of students whose ages are in the interval from 18-20? (rounded to 2 decimal places)

A) 30
B) 3.33
C) 0.30
D) 0.17

Question 31

Two friends, Alfredo and Bob, are playing golf. Although they are about the same at driving the ball onto the green, Al is better at putting. On the 9th hole, Bob makes a 5 and Al hits into the lake and then gets stuck in a sand trap. By the time he gets to the green and makes it to the hole, his score is 12. Here are the scores for the 9 holes:

Find each of the following (if necessary, round to 2 decimal places):

A) Al's mean
B) Al's median
C) Bob's mean
D) Bob' median
E) Who is the better golfer "on average"? (Explain your answer.)

Question 32

The bar chart below was created using the number of children of each of the last 20 U.S. Presidents.

Find the relative frequency of presidents who had 3 children.

Question 33

The bar chart below was created using the number of children of each of the last 20 U.S. Presidents.

Find the relative frequency of presidents who had 1 children.

A) 10%
B) 2
C) 1
D) 20%

Question 34

Use the bar chart below to find the mean of the data set.

Round your answer to 2 decimal places.

Question 35

Use the bar chart below to find the mean of the data set, rounded to 2 decimal places if necessary.

A) 5
B) 4.12
C) 4
D) 5.6
E) 4.87

Question 36

The histogram below was created use the ages of members of a certain family. Find the relative frequency of the family members in the 31-40 age range.

A) 3.125%
B) 1
C) 1%
D) 35

Question 37

Which of the following CANNOT be the mean of the data set represented in the following histogram.

A) 6.7
B) 7
C) 7.6
D) 6

Question 38

Use the following to answer questions
The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.

-What percentage of 13 - 17 year old males exercise more than 2 hours per week?

Question 39

Use the following to answer questions
The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.

-What percentage of 13 - 17 year old females exercise more than 5 hours per week?

Question 40

Use the following to answer questions
The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week.

-What percentage of 13 - 17 year old males exercise 3 hours or less per week?

Question 41

Select all of the following ordered pairs that satisfy the equation.

A) (-5,7)
B) (2,-1)
C) (-2,-5)
D) (-3,-3)
E) (4,1)

Question 42

Which one of the following ordered pairs that satisfy the equation.

A) (1,9)
B) (-3,1)
C) (3,-11)
D) (-2,-3)

Question 43

Determine whether the ordered pair, (-3,-5), satisfies the equation.

Question 44

Find the value that correctly completes the ordered pair, (2,__) for the equation.

Question 45

Select all of the following ordered pairs that satisfy the equation.

A) (-1,-1)
B) (-2,-17)
C) (2,-17)
D) (-3,-23)
E) (1,7)

Question 46

Which one of the following ordered pairs that satisfy the equation.

A) (2,-2)
B) (-3,-13)
C) (-2,-2)
D) (1,7)

Question 47

Determine whether the ordered pair, (-2,3), satisfies the equation.

Question 48

Find the value that completes the ordered pair, (-2,__), satisfies the equation.

Question 49

Find the value that completes the ordered pair, (2,__).

Question 50

Find the value that completes the ordered pair, (__,1).

Question 51

Use the graph below to answer the questions.


-

A) What was the average gas price in month 6 of 1999? (Round to the nearest $0.05.)
B) In what month did gas prices reach $1.40 per gallon?
C) After which month did milk prices begin to decrease?

Question 52

Use the graph below to answer the question.


-
Choose the average gas price in month 4 of 1999.

A) $ 1.81
B) $ 0.30
C) $ 0.40
D) $ 1.30

Question 53

Use the graph below to answer the questions.


-
In what month did milk prices reach $1.79 per gallon?

A) 2
B) 3
C) 6
D) 4

Question 54

Use the graph below to answer the questions.


-
After which month did milk prices begin to decrease?

A) 2
B) 5
C) 4
D) 3

Question 55

Which graph displays the solutions to the equation below?

A)

B)

C)

Question 56

The following three graphs describe two cars, A and B.


Which of the following is true?

A) The newer car is more expensive.
B) The newer car is less expensive.

Question 57

The following three graphs describe two cars, A and B.


Which of the following is true?

A) The more expensive car has a shorter range.
B) The more expensive car has a longer range.

Question 58

For the equation:

what value cannot be in the domain?

Question 59

For the equation:

find the value of y when x is 6.

Question 60

For the equation:

find the value of x when y is 3.

Question 61

For the given equation , which could never be a value of y?

A) 6
B) 1
C) -7
D) 2

Question 62

The following table shows data for the number of speeding tickets issued and the number of traffic deaths in Barron County by year.

In which year were there the most traffic deaths?

Question 63

Create a scatter plot for the following data:

Question 64

Use the graph to fill in the table.

Question 65

Consider the table giving values for variables x and y.

Determine whether y is a function of x.

A) y is a function of x
B) y is not a function of x

Question 66

Consider the table giving values for variables s and t.

Determine which of the following best describes the relationship between s and t.

A) t is a function of s
B) s is a function of t
C) both A and B
D) None of the above

Question 67

Consider the table giving values for height and weight of 5 individuals.

Determine which of the following best describes the relationship between height and weight.

A) Height is a function of weight.
B) Weight is a function of height.
C) Both A and B
D) None of the above.

Question 68

The equation defines y as a function of x.

Question 69

In the graph below, y is a function of x.

Question 70

Based upon the scatterplot choose the answer that best describes the relationship between x and y.

A) y is a function of x
B) x is a function of y
C) both A and B
D) None of the above

Question 71

In the situation below, identify

A) the independent (input) variable, and
B) the dependent (output) variable.
Enter the variable only.
At the bookstore the total bill (b) is a function of the number of pencils you buy (p).

Question 72

For the following data, find a formula that expresses y in terms of x.

Question 73

Find a formula that gives y in terms of x.

Question 74

A plumber charges $20 for a house call plus $27 per hour while she is there, up to a maximum of 8 hours.
Write a formula to describe the price, p, of a house call by the plumber in terms of the hours, h, spent at the house.

Question 75

A taxi company has the following fare policy: any trip of 5 miles or less costs $5.00 and the cost for each additional mile is $0.35. The company will not make a trip longer than 30 miles.
Which formula and domain best describe the relationship between the cab fare, f, and the length of the trip, t, 5 miles or longer.

A) ; Domain: [5,30]
B) ; Domain: [0, )
C) ; Domain: (0,30]
D) ; Domain: [5, )

Question 76

Determine if this set of points represents a function.
(7, 10), (6, -1), (-4, -6), (-8, -3), (4, -8)

A) Yes. The points represent a function.
B) No. The points do not represent a function.

Question 77

Determine if this table describes a function.

A) Yes. The points represent a function.
B) No. The points do not represent a function.

Question 78

Find an equation that represents the relationship between x and y in this table:

Question 79

Find an equation that represents the relationship between x and y in this table:

Question 80

Find an equation that represents the relationship between x and y in this table: