Deck 7: Graphs, Statistics, and Probability

Question 1

Which of the following illustrations is a histogram?

A)
B)
C)
D)
E)

Answer 1

Question 2

To the nearest two million, how many people in the world speak French?
Is it possible to use circle graphs in this case?

A) True
B) False

Answer 2

True

Question 3

If the symbol = 1,800 cars, estimate what the symbol represents.

A) about 900 cars
B) about 1,800 cars
C) about 600 cars
D) about 500 cars

Answer 3

about 900 cars

Question 4

Which of the following illustrations is a frequency polygon?

A)
B)
C)
D)
E)

Question 5

Find the mean of the list of data.
11, 13, 15, 15, 13, 11

A) 14
B) 12
C) 15
D) 11
E) 13

Question 6

Raul has an adjusted income of $153,850, is married, and files jointly. Compute his tax.

A) $32,082.50
B) $10,976.00
C) $33,258.50
D) $22,282.50
E) $22,377.50

Question 7

Which of the following illustrations is a pictograph?

A)
B)
C)
D)
E)

Question 8

Refer to the line graph.
At what times (A, B, C or D) do you find the following conditions: runner 1 running and runner 2 stopped?

A) B only
B) D only
C) C and D
D) B and D
E) A and B

Question 10

Refer to the pie graph that shows the world's languages and the percentages of the population that speak them.
What percentage of the world's population does not speak either Chinese or German?

A) 97.6%
B) 81.1%
C) 90.2%
D) 4.8%
E) 91.6%

Question 11

Refer to the pictograph.
How much more money did parents spend than children?

A) $150
B) $105
C) $175
D) $180
E) $145

Question 12

Refer to the line graph.
In approximately what year did miners begin to earn more than construction workers?

A) in 1992
B) in 1994
C) in 1988
D) in 1991
E) in 1986

Question 13

Which of the following illustrations represents a circle graph?

A)
B)
C)
D)
E)

Question 14

Use the data in the table to make a line graph showing the average acreage (in acres) of U.S. farms for the years 1950 through 1990.
$\begin{array} { | l | l | l | } \hline \text { Year } & \begin{array} { l } \text { Number of U.S. } \\\text { farms (in } \\\text { millions) }\end{array} & \begin{array} { l } \text { Average size of } \\\text { U.S. farms } \\\text { (acres) }\end{array} \\\hline 1950 & 5.6 & 214 \\\hline 1960 & 4.0 & 330 \\\hline 1970 & 2.9 & 399 \\\hline 1980 & 2.4 & 441 \\\hline 1990 & 2.1 & 478 \\\hline 2000 & 2.2 & 439 \\\hline\end{array}$

A)
B)
C)
D)
E)

Question 15

Use the data in the table to make a line graph showing the average acreage (in acres) of U.S. farms for the years 1950 through 1990.
$\begin{array} { | l | l | l | } \hline \text { Year } & \begin{array} { l } \text { Number of U.S. } \\\text { farms (in } \\\text { millions) }\end{array} & \begin{array} { l } \text { Average size of } \\\text { U.S. farms } \\\text { (acres) }\end{array} \\\hline 1950 & 5.6 & 234 \\\hline 1960 & 4.0 & 330 \\\hline 1970 & 2.9 & 399 \\\hline 1980 & 2.4 & 441 \\\hline 1990 & 2.1 & 478 \\\hline 2000 & 2.2 & 439 \\\hline\end{array}$

A)
B)
C)
D)
E)

Question 16

Which of the following illustrations best represents a bar graph? 

A)
B)
C)
D)
E)

Question 17

Balls numbered from 1 to 38 are placed in a container and stirred. If one is drawn at random, what is the probability that the number is a prime number?

A) $\frac { 6 } { 19 }$
B) $\frac { 9 } { 19 }$
C) $\frac { 20 } { 38 }$
D) $\frac { 13 } { 38 }$

Question 18

Which of the following illustrations is a line graph?

A)
B)
C)
D)
E)

Question 19

To study the effect of fluoride in preventing tooth decay, researchers counted the number of fillings in the teeth of 28 patients and recorded these results:
5, 7, 16, 21, 16, 23, 17, 8, 12, 3, 9, 2, 8, 17, 12, 19, 14, 10, 13, 8, 14, 15, 14, 14, 6, 10, 12, 11
Create a table to tally the results.

A) Number of fillings Frequency 1-5 3
6-10 9
11-15 12
16-20 7
21-25 2
B) Number of fillings Frequency 1-5 2
6-10 8
11-15 12
16-20 5
21-25 2
C) Number of fillings Frequency 1-5 3
6-10 8
11-15 12
16-20 5
21-25 1
D) Number of fillings Frequency 1-5 12
6-10 9
11-15 12
16-20 7
21-25 3
E) Number of fillings Frequency 1-5 3
6-10 8
11-15 10
16-20 5
21-25 2

Question 20

How many more pet cats are there than pet dogs?
Is it possible to use bar graphs in this case?

A) True
B) False

Question 21

Find the mean of the list of data.
46, 62, 42, 32, 85, 57, 96, 104

A) 64.5
B) 68.5
C) 66.5
D) 65.5
E) 67.5

Question 22

Assume that the probability that an airplane engine will fail a test is and that the aircraft in question has 4 engines. What is the sample space for the problem? Use N for not fail and F for fail.

Question 23

Find the mode (if any) of the list of data.
16, 16, 18, 18, 16, 17, 18, 16

A) 16
B) 17
C) 16.5
D) 18
E) 15

Question 24

Which of the following is the sample set for an experiment which involves tossing three coins?

A) HHH, TTT
B) HHH, HHT, HTT, TTT
C) HHH, HHT, HTH, THH, TTT
D) HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

Question 25

List the sample set for an experiment which involves picking a one-digit number.

A) 1, 2, 3, 4, 5, 6, 7, 8, 9
B) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
C) 10
D) $\infty$

Question 26

Find the semester grade point average for a student that received the following grades. Round to the nearest hundredth.
$\begin{array} { | c | c | c | } \hline \text { Course } & \text { Grade } & \text { Credits } \\\hline \text { Mathematics } & \text { C } & 2 \\\hline \text { English } & \text { D } & 1 \\\hline \text { History } & \text { C } & 3 \\\hline \text { Geography } & \text { D } & 3 \\\hline \text { Biology } & \text { B } & 3 \\\hline\end{array}$

A) 2
B) 2.4
C) 1.92
D) 0.4

Question 27

Find the mean of the list of data.
12, 14, 16, 16, 14, 12

A) 15
B) 13
C) 16
D) 17
E) 14

Question 28

Several groceries reported differing prices for a bread. The prices are as follows: 2.3, 2.6, 3.2, 2.8, 3.1, 3, 2.2, 2, 2.8. Find the mean, median, and mode of the prices for a bread. Then find the range of the prices.

A) mean: $3.67, median: $3.8, mode: $1.8, range: $2.2
B) mean: $2.67, median: $2.8, mode: $2.8, range: $1.2
C) mean: $1.67, median: $4.8, mode: $3.8, range: $3.2
D) mean: $4.67, median: $1.8, mode: $4.8, range: $0.5
E) mean: $0.67, median: $5.8, mode: $0.8, range: $4.2

Question 29

Several computer stores reported differing prices for a toner cartridge for a laser printer. The prices are as follows: 59, 50, 77, 70, 71, 73, 54, 56, 70. Find the mode of the prices for a toner cartridge.

A) $69
B) $70
C) $71
D) $72
E) $68

Question 30

Find the mode of these values:
4, 4, 8, 8, 4, 7, 8, 4

A) 4
B) 7
C) 5.5
D) 8
E) 3

Question 31

The scores on the first exam of the students in a history class were 52, 57, 63, 62, 62, 62, 84, 82, 98, 91, and 100. Kia got a score of 85 and claims that "85 is better than average." Which of the three measures of central tendency is she better than: the mean, the median, or the mode?

A) better than the mean
B) worse than the mean
C) better than the mode
D) worse than the median
E) better than the median
F) worse than the mode

Question 32

Find the weighted mean of a set of values. Round to the nearest tenth. $$\begin{array} { | c | c | } \hline \text { Value of } x & \begin{array} { c } \text { The weights to } \\\text { the } x \text { values }\end{array} \\\hline 3 & 20 \\\hline 4 & 34 \\\hline 2 & 47 \\\hline 1 & 54 \\\hline\end{array}$$

A) 2.2
B) 38.8
C) 15.5
D) 2.5

Question 33

Use the following bar graph to find the average number of therms of natural gas used per month.

Question 34

Frank's algebra grade is based on the average of four exams, which will count equally. His grades are 85, 70, 70 and 85. Find his average.

A) 72.5
B) 77.5
C) 82.5
D) 92.5
E) 87.5

Question 35

Find the median of the list of data.
15, 18, 20, 29, 34, 44

A) 22.5
B) 29
C) 20
D) 24.5
E) 26.7

Question 36

Roberto received the same score on each of five exams, and his mean score is 84. Find his median score and his modal score.

A) median 79, mode 74
B) median 89, mode 89
C) median 84, mode 84
D) median 74, mode 74
E) median 89, mode 79

Question 37

Find the mean of the list of data.
48, 67, 44, 37, 80, 52, 92, 108

A) 65
B) 64
C) 67
D) 66
E) 68

Question 38

The class results on a mathematical quiz are shown in the table below. Find the average number of incorrect answers on the quiz.
$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Total number } \\\text { of incorrect } \\\text { answers on } \\\text { the quiz }\end{array} & \begin{array} { c } \text { Number } \\\text { of students }\end{array} \\\hline 0 & 4 \\\hline 1 & 4 \\\hline 2 & 8 \\\hline 3 & 10 \\\hline 4 & 1 \\\hline\end{array}$

A) 2
B) 5.4
C) 9
D) 1.8

Question 39

Find the median of the list of data.
0, 0, 4, 7, 0 , 0, 4, 7, 9

A) 0
B) 7
C) 3
D) 4
E) 9

Question 40

The magnitudes of the major earthquakes in 1999 are listed below.
$\begin{array} { l l l } \text { 1/19/99 } & \text { New Ireland, Papua New Guinea } & 7 \\2 / 6 / 99 & \text { Santa Cruz Islands, S.Pacific Sea } & 7.3 \\3 / 4 / 99 & \text { Celebes Sea, Indonesia } & 7.1 \\4 / 5 / 99 & \text { New Britain, Papua New Guinea } & 7.4 \\4 / 8 / 99 & \text { E.Russia/N.E.China border } & 7.1 \\5 / 10 / 99 & \text { New Britain, Papua New Guinea } & 7.1 \\5 / 16 / 99 & \text { New Britain, Papua New Guinea } & 7.1 \\8 / 17 / 99 & \text { Izmit region, western Turkey } & 7.4 \\9 / 21 / 99 & \text { Taiwan } & 7.8 \\9 / 30 / 99 & \text { Oaxaca, Mexico } & 7.4 \\11 / 12 / 99 & \text { Bolu Province, northwest Turkey } & 7.2\end{array}$
Find the mean, median, and mode of the magnitudes. Round to the nearest tenth.

A) mean 7.2; mode 7; median 7.3
B) mean 7.3; mode 7.2; median 7.2
C) mean 7.4; mode 7.2; median 7.2
D) mean 7.3; mode 7.1; median 7.2
E) mean 7.2; mode 7.1; median 7.2

Question 41

What is the event " getting an odd number and a tails " for the experiment of rolling a die and then tossing a coin?

A) E = { (1, H), (3, H), (5, H) }
B) E = { (2, T), (4, T), (6, T) }
C) E = { (2, H), (4, H), (6, H) }
D) E = { (1, T), (3, T), (5, T) }

Question 42

What is the event " getting at least one tails " for the experiment of tossing a coin twice?

A) E = { (T, T), (H, T), (T, H) }
B) E = { (H, H), (H, T), (T, H), (T, T) }
C) E = { (H, H), (H, T), (T, H) }
D) E = { (H, T), (T, H) }

Question 43

Refer to the following spinner. If the spinner is spun, what is the probability that the arrow will stop on green? Assume that the spinner never stops on a line.

A) $\frac { 1 } { 8 }$
B) $\frac { 5 } { 8 }$
C) $\frac { 3 } { 8 }$
D) $\frac { 1 } { 4 }$

Question 44

What is the event " getting numbers, whose sum is more then 6 " for the experiment of rolling a die twice?

A) E = { (1, 1),(1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1) }
B) E = { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) }
C) E = { (1, 6), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
D) An event cannot happen

Question 45

An ordinary die is rolled once. What is the probability of rolling an even number?

A) $\frac { 1 } { 2 }$
B) $\frac { 3 } { 8 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 3 }$