Question 1

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

Accepted Answer

The event "getting numbers, whose sum is more than 6" can be represented as getting the outcomes (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), or (6,6). These outcomes are exactly the elements of option C. Therefore, option C is the correct answer.

Question 2

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

Accepted Answer

A

Question 3

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

Accepted Answer

Bar graphs can be used to compare the number of pet cats to the number of pet dogs, allowing for a visual representation of the difference between the two quantities.

Question 4

Find the mean of the list of data.
12, 14, 16, 16, 14, 12
A) 15
B) 13
C) 16
D) 17
E) 14

Accepted Answer

To find the mean, you add up all the numbers and divide by the total number of values.

(12 + 14 + 16 + 16 + 14 + 12) / 6 = 84 / 6 = 14

Therefore, the answer is E) 14.

Question 5

Which of the following illustrations is a frequency polygon?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which of the following illustrations is a...

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

Accepted Answer

To compute Raul's tax, we need to use the tax bracket table for married couples filing jointly in 2019.

For the first $19,400 of taxable income, the tax rate is 10%. Raul's adjusted income exceeds this threshold, so he owes $1,940 in taxes for this portion of his income.

For the next $59,550 ($19,401 to $78,950), the tax rate is 12%. Raul's income falls within this range, so he owes an additional $7,146 in taxes for this portion of his income.

For the next $90,800 ($78,951 to $169,750), the tax rate is 22%. Raul's income falls within this range as well, so he owes an additional $19,972 in taxes for this portion of his income.

Finally, for the amount over $169,750, the tax rate is 24%. Raul's income is $153,850, which is less than $169,750, so he does not owe any taxes in this bracket.

To calculate Raul's total tax, we add up the taxes owed in each bracket:

$1,940 + $7,146 + $19,972 = $33,058

Therefore, Raul's tax is $33,058, or approximately answer choice C.

Question 7

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)

Accepted Answer

The answer of Use the data in the table to...

Question 8

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)

Accepted Answer

The answer of Use the data in the table to...

Question 9

Which of the following illustrations is a line graph?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which of the following illustrations is a...

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%

Accepted Answer

The answer of Refer to the pie graph that shows...

Question 11

Which of the following illustrations is a histogram?
A) 
B) 
C) 
D) 
E)

Accepted Answer

This is the only illustration that shows bars representing frequency or count of data within certain intervals or ranges, which is the characteristic of a histogram. The other options show scatter plots and line graphs.

Question 12

Which of the following illustrations best represents a bar graph? 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which of the following illustrations best represents...

Question 13

Which of the following illustrations represents a circle graph?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which of the following illustrations represents a...

Question 14

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

Accepted Answer

According to Ethnologue, approximately 275 million people in the world speak French. Rounded to the nearest two million, the answer would be 276 million. This question could be represented using a circle graph by showing the percentage of French speakers compared to the total population of the world, but it is not necessary for answering the question.

Question 15

Match between columns
                        Premises: table, bar graph, histogram
table, bar graph, histogram, pie chart

Accepted Answer

The Answer of The number of hours spent studying for is...

Question 16

Refer to the pictograph.
How much more money did parents spend than children? 
A) $150
B) $105
C) $175
D) $180
E) $145

Accepted Answer

The answer of Refer to the pictograph.
How much more money...

Question 17

Find the mean of the list of data.
11, 13, 15, 15, 13, 11
A) 14
B) 12
C) 15
D) 11
E) 13

Accepted Answer

To find the mean, add up all the numbers and divide by the total number of numbers. 
11 + 13 + 15 + 15 + 13 + 11 = 78
78 ÷ 6 = 13
Thus, the mean is 13, making choice E the correct answer.

Question 18

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

Accepted Answer

The answer of Refer to the line graph.
In approximately what...

Question 19

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

Accepted Answer

The answer of Refer to the line graph.
At what times...

Question 20

Which of the following illustrations is a pictograph?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which of the following illustrations is a...

Quiz 7: Graphs, Statistics, and Probability

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

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

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

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

Which of the following illustrations is a frequency polygon?

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

Which of the following illustrations is a line graph?

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?

Which of the following illustrations is a histogram?

Which of the following illustrations best represents a bar graph?

Which of the following illustrations represents a circle graph?

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

Match the type of information with the most appropriate kinds of presentations.

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

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

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

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?

Which of the following illustrations is a pictograph?