Question 1

Consider the following bar graph. What country used the fewest barrels of oil per day?

Accepted Answer

A)  Canada 
B)  US 
C)  Germany 
D)  Italy 
E)  Japan 
A)  Canada 
B)  US 
C)  Germany 
D)  Italy 
E)  Japan

Question 2

A trucking company had 7 items with the following weights.  
753 lb, 835 lb, 1,008 lb, 256 lb, 641 lb, 783 lb, 443 lb
What is the mean measurement?

Accepted Answer

A)  682 lb 
B)  337 lb 
C)  674 lb 
D)  660 lb 
E)  4,718 lb 
A)  682 lb 
B)  337 lb 
C)  674 lb 
D)  660 lb 
E)  4,718 lb

Question 3

Consider the following bar graph. How many barrels of oil per day were used by Italy?   __________ million barrels

Accepted Answer

The answer of Consider the following bar graph. How many...

Question 4

A technician measured the power usage of six appliances and recorded the following results. $104$ kW, $202$ kW, $174$ kW, $163$ kW, $187$ kW, $122$ kW What is the median measurement?

Accepted Answer

A)  $192.5$ kW 
B)  $178.5$ kW 
C)  $168.5$ kW 
D)  $155.5$ kW 
E)  $205.5$ kW 
A)  $192.5$ kW 
B)  $178.5$ kW 
C)  $168.5$ kW 
D)  $155.5$ kW 
E)  $205.5$ kW

Question 5

Find the sample space of marbles taken two at a time from a bag with 1 white and 2 red marbles.

Accepted Answer

A)  [(red, red),(red, red),(red, red),(red, red),(red, red),(red, red),(red, red),(red, red)]0 
B)  [(red, red),(red, white) ] 
C)  [(red, red),(red,white),(red,white) ] 
D)  [(red, white),(red, white),(red, white),(white, red),(white, red),(white, red) ]0 
E)  none of these 
A)  [(red, red),(red, red),(red, red),(red, red),(red, red),(red, red),(red, red),(red, red)]0 
B)  [(red, red),(red, white) ] 
C)  [(red, red),(red,white),(red,white) ] 
D)  [(red, white),(red, white),(red, white),(white, red),(white, red),(white, red) ]0 
E)  none of these

Question 6

Find the sample standard deviation from the set of measurements below. $0.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.533$

Accepted Answer

A)  $s = 0.125$ 
B)  $s = 0.134$ 
C)  $s = 0.137$ 
D)  $s = 0.132$ 
E)  $s = 0.128$ 
A)  $s = 0.125$ 
B)  $s = 0.134$ 
C)  $s = 0.137$ 
D)  $s = 0.132$ 
E)  $s = 0.128$

Question 7

Find the sample space of pieces of paper taken two at a time with the numbers 1-4 written on them.

Accepted Answer

A)  [(1, 2),(1, 3),(1, 4),(3, 4) ] 
B)  [(1, 2),(1, 3),(1, 4),(2, 1),(2, 3),(2, 4),(3, 1),(3, 2),(3, 4),(4, 1),(4, 2),(4, 3) ] 
C)  [(1, 1),(2, 2),(3, 3),(4, 4) ] 
D)  [(1, 2),(1, 3),(1, 4),(2, 3),(2,4) ] 
E)  [(1, 2),(1, 3),(1, 4),(2, 3),(2, 4),  (3, 4) ] 
A)  [(1, 2),(1, 3),(1, 4),(3, 4) ] 
B)  [(1, 2),(1, 3),(1, 4),(2, 1),(2, 3),(2, 4),(3, 1),(3, 2),(3, 4),(4, 1),(4, 2),(4, 3) ] 
C)  [(1, 1),(2, 2),(3, 3),(4, 4) ] 
D)  [(1, 2),(1, 3),(1, 4),(2, 3),(2,4) ] 
E)  [(1, 2),(1, 3),(1, 4),(2, 3),(2, 4),  (3, 4) ]

Question 8

Use the frequency distribution to find the mean and the sample standard deviation. Does the data form a normal distribution? Remember: if the data fall within 2% of the empirical rule of 68%, 95%, and 99.7% for one, two, or three standard deviations, respectively, they form a normal distribution.   $\begin{array}{|ll|}
\hline \text { Life of bulb (hours) } & \text { Frequency t}  \
\hline 0-999 . 5 & 103 \
999.5-1,999.5 & 476 \
1,999.5-2,999.5 & 2,062 \
2,999.5-3,999.5 & 4,129 \
3,999.5-4,999.5 & 2,460 \
4,999.5-5,999.5 & 421 \
5,999.5-6,999.5 & 146 \
\hline
\end{array}$

Accepted Answer

A)  The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data forms a normal distribution. 
B)  The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data forms a normal distribution. 
C)  The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data doesn't form a normal distribution. 
D)  The mean is 3,542 hours. The sample standard deviation is 1,027 hours. The data forms a normal distribution. 
E)  The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data doesn't form a normal distribution. 
A)  The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data forms a normal distribution. 
B)  The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data forms a normal distribution. 
C)  The mean is 3,546 hours. The sample standard deviation is 1,018 hours. The data doesn't form a normal distribution. 
D)  The mean is 3,542 hours. The sample standard deviation is 1,027 hours. The data forms a normal distribution. 
E)  The mean is 3,523 hours. The sample standard deviation is 1,017 hours. The data doesn't form a normal distribution.

Question 9

Find the sample standard deviation from the set of measurements below. $0.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.063$

Accepted Answer

A)  $s = 0.54$ 
B)  $S = 0.61$ 
C)  $s = 0.52$ 
D)  $s = 0.56$ 
E)  $S = 0.49$ 
A)  $s = 0.54$ 
B)  $S = 0.61$ 
C)  $s = 0.52$ 
D)  $s = 0.56$ 
E)  $S = 0.49$

Question 10

Find the mean measurement for the set of measurements. 9,214 m, 9.237 m, 9,294 m, 9.222 m, 9.291 m

Accepted Answer

A)  46,258 m 
B)  9,252 m 
C)  9,246 m 
D)  37,006 m 
E)  9,232 m 
A)  46,258 m 
B)  9,252 m 
C)  9,246 m 
D)  37,006 m 
E)  9,232 m

Question 11

Find the mean measurement for the set of measurements. $\begin{array} { l } 
3,184 ; 448\bar0 ; 2,967 ; 7,636 ; 1,181 ; 6,655 ; 2.168 ; 8,190 ; 5,103 ; 9,662 \
5,106 ; 6,201 ; 1,986 ; 4,039 ; 1,208 ; 3,207 ; 4,6913,307 ; 7,226
\end{array}$

Accepted Answer

A)  88,197 
B)  23,210 
C)  4,604 
D)  4,561 
E)  4,642 
A)  88,197 
B)  23,210 
C)  4,604 
D)  4,561 
E)  4,642

Question 12

A tech measured the power usage of six appliances and recorded the following results.  
173 kW, 106 kW, 135 kW, 176 kW, 195 kW, 201 kW
What is the mean measurement?

Accepted Answer

A)  16 kW 
B)  162 kW 
C)  175 kW 
D)  984 kW 
E)  164 kW 
A)  16 kW 
B)  162 kW 
C)  175 kW 
D)  984 kW 
E)  164 kW

Question 13

A clothing manufacturer is going to produce 10,000 women's blouses in a normal distribution of sizes with a mean of 8 and a standard deviation of 2.7. Given that the sizes are 2, 4, 6, 8, 10, 12, 14, 16, and 18, how many of each size should the manufacturer make?
__________ blouses of sizes 6, 8 and 10;
__________ blouses of sizes 4 and 12;
__________ blouses of sizes 2,14 and 16;
__________ blouses of size 18.

Accepted Answer

The answer of A clothing manufacturer is going to produce...

Question 14

Three out of ten motorcyclists wear safety helmets. If two motorcyclists are chosen, what is the probability that both wear a safety helmet?

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 9 } { 80 }$ 
C)  $\frac { 1 } { 70 }$ 
D)  $\frac { 9 } { 100 }$ 
E)  $\frac { 9 } { 70 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 9 } { 80 }$ 
C)  $\frac { 1 } { 70 }$ 
D)  $\frac { 9 } { 100 }$ 
E)  $\frac { 9 } { 70 }$

Question 15

Use the figure below to answer the following question.   What is the power output when the power gain is 22 db?

Accepted Answer

A)  100 db 
B)  300 db 
C)  200 db 
D)  250 db 
E)  150 db 
A)  100 db 
B)  300 db 
C)  200 db 
D)  250 db 
E)  150 db

Question 16

Find the median measurement for the set of measurements. $47.63$ cm, $48.23$ cm, $47.97$ cm, $47.88$ cm
__________ cm

Accepted Answer

The answer of Find the median measurement for the set...

Question 17

A bag contains 10 red and 15 white marbles. One marble is drawn. What is the probability that a white marble is drawn?

Accepted Answer

A)  $\frac { 1 } { 26 }$ 
B)  $\frac { 3 } { 31 }$ 
C)  $\frac { 4 } { 31 }$ 
D)  $\frac { 3 } { 5 }$ 
E)  $\frac { 2 } { 5 }$ 
A)  $\frac { 1 } { 26 }$ 
B)  $\frac { 3 } { 31 }$ 
C)  $\frac { 4 } { 31 }$ 
D)  $\frac { 3 } { 5 }$ 
E)  $\frac { 2 } { 5 }$

Question 18

A trouser manufacturer has an order for 800,000 men's trousers in a normal distribution of waist sizes 28, 30, 32, 34, 36, 38, 40, 42, and 44 with a mean of 34 and a sample standard deviation of 1.8. Find the number of trousers to be made of each waist size.

Accepted Answer

A)  568,000 trousers of size 34; 168,000 of sizes 32 and 36; 33,600 of sizes 30 and 38; 30,400 of sizes 28, 40, 42 and 44 
B)  544,000 trousers of size 34; 216,000 of sizes 32 and 36; 37,600 of sizes 30 and 38; 2,400 of sizes 28, 40, 42 and 44 
C)  512,000 trousers of size 34; 248,000 of sizes 32 and 36; 35,200 of sizes 30 and 38; 4,800 of sizes 28, 40, 42 and 44 
D)  600,000 trousers of size 34; 136,000 of sizes 32 and 36; 51,200 of sizes 30 and 38; 12,800 of sizes 28, 40, 42 and 44 
E)  440,000 trousers of size 34; 280,000 of sizes 32 and 36; 42,400 of sizes 30 and 38; 37,600 of sizes 28, 40, 42 and 44 
A)  568,000 trousers of size 34; 168,000 of sizes 32 and 36; 33,600 of sizes 30 and 38; 30,400 of sizes 28, 40, 42 and 44 
B)  544,000 trousers of size 34; 216,000 of sizes 32 and 36; 37,600 of sizes 30 and 38; 2,400 of sizes 28, 40, 42 and 44 
C)  512,000 trousers of size 34; 248,000 of sizes 32 and 36; 35,200 of sizes 30 and 38; 4,800 of sizes 28, 40, 42 and 44 
D)  600,000 trousers of size 34; 136,000 of sizes 32 and 36; 51,200 of sizes 30 and 38; 12,800 of sizes 28, 40, 42 and 44 
E)  440,000 trousers of size 34; 280,000 of sizes 32 and 36; 42,400 of sizes 30 and 38; 37,600 of sizes 28, 40, 42 and 44

Question 19

A spinner has numbers 1-11 marked equally on the face. If the spinner is spun 3 times, what is the probability of getting an even and an odd and a 4?

Accepted Answer

A)  $\frac { 30 } { 1,331 }$ 
B)  $\frac { 1 } { 121 }$ 
C)  $\frac { 15 } { 671 }$ 
D)  $\frac { 1 } { 1,331 }$ 
E)  $\frac { 1 } { 44 }$ 
A)  $\frac { 30 } { 1,331 }$ 
B)  $\frac { 1 } { 121 }$ 
C)  $\frac { 15 } { 671 }$ 
D)  $\frac { 1 } { 1,331 }$ 
E)  $\frac { 1 } { 44 }$

Question 20

Find the mean measurement for the set of measurements. $6,026 ; 505 \overline { 0 } ; 7,103 ; 4,124 ; 608 \overline { 0 } ; 597 \overline { 0 } ; 7,172 ; 5,824 ; 622 \overline { 0 } ; 10,172 ; 908 \overline { 0 } ; 10,175$

Accepted Answer

A)  6,914 
B)  6,916 
C)  82,996 
D)  3,458 
E)  6,872 
A)  6,914 
B)  6,916 
C)  82,996 
D)  3,458 
E)  6,872

Consider the following bar graph. What country used the fewest barrels of oil per day?

A trucking company had 7 items with the following weights. 753 lb, 835 lb, 1,008 lb, 256 lb, 641 lb, 783 lb, 443 lb What is the mean measurement?

Consider the following bar graph. How many barrels of oil per day were used by Italy? __________ million barrels

A technician measured the power usage of six appliances and recorded the following results. $104$ kW, $202$ kW, $174$ kW, $163$ kW, $187$ kW, $122$ kW What is the median measurement?

Find the sample space of marbles taken two at a time from a bag with 1 white and 2 red marbles.

Find the sample standard deviation from the set of measurements below. $0.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.533$

Find the sample space of pieces of paper taken two at a time with the numbers 1-4 written on them.

Find the sample standard deviation from the set of measurements below. $0.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.063$

Find the mean measurement for the set of measurements. 9,214 m, 9.237 m, 9,294 m, 9.222 m, 9.291 m

Find the mean measurement for the set of measurements. 3,184;448;2,967;7,636;1,181;6,655;2.168;8,190;5,103;9,662 5,106;6,201;1,986;4,039;1,208;3,207;4,6913,307;7,226

A tech measured the power usage of six appliances and recorded the following results. 173 kW, 106 kW, 135 kW, 176 kW, 195 kW, 201 kW What is the mean measurement?

Three out of ten motorcyclists wear safety helmets. If two motorcyclists are chosen, what is the probability that both wear a safety helmet?

Use the figure below to answer the following question. What is the power output when the power gain is 22 db?

Find the median measurement for the set of measurements. $47.63$ cm, $48.23$ cm, $47.97$ cm, $47.88$ cm __________ cm

A bag contains 10 red and 15 white marbles. One marble is drawn. What is the probability that a white marble is drawn?

A trouser manufacturer has an order for 800,000 men's trousers in a normal distribution of waist sizes 28, 30, 32, 34, 36, 38, 40, 42, and 44 with a mean of 34 and a sample standard deviation of 1.8. Find the number of trousers to be made of each waist size.

A spinner has numbers 1-11 marked equally on the face. If the spinner is spun 3 times, what is the probability of getting an even and an odd and a 4?

Find the mean measurement for the set of measurements. $6,026 ; 505 \overline { 0 } ; 7,103 ; 4,124 ; 608 \overline { 0 } ; 597 \overline { 0 } ; 7,172 ; 5,824 ; 622 \overline { 0 } ; 10,172 ; 908 \overline { 0 } ; 10,175$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Binary and Hexadecimal Numbers

Filters

Exam 15: Basic Statistics

Consider the following bar graph. What country used the fewest barrels of oil per day?

A trucking company had 7 items with the following weights. 753 lb, 835 lb, 1,008 lb, 256 lb, 641 lb, 783 lb, 443 lb What is the mean measurement?

Consider the following bar graph. How many barrels of oil per day were used by Italy? __________ million barrels

A technician measured the power usage of six appliances and recorded the following results. 104104104 kW, 202202202 kW, 174174174 kW, 163163163 kW, 187187187 kW, 122122122 kW What is the median measurement?

Find the sample space of marbles taken two at a time from a bag with 1 white and 2 red marbles.

Find the sample standard deviation from the set of measurements below. 0.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.5330.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.5330.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.533

Find the sample space of pieces of paper taken two at a time with the numbers 1-4 written on them.

Find the sample standard deviation from the set of measurements below. 0.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.0630.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.0630.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.063

Find the mean measurement for the set of measurements. 9,214 m, 9.237 m, 9,294 m, 9.222 m, 9.291 m

Find the mean measurement for the set of measurements. 3,184;448;2,967;7,636;1,181;6,655;2.168;8,190;5,103;9,662 5,106;6,201;1,986;4,039;1,208;3,207;4,6913,307;7,226

A tech measured the power usage of six appliances and recorded the following results. 173 kW, 106 kW, 135 kW, 176 kW, 195 kW, 201 kW What is the mean measurement?

Three out of ten motorcyclists wear safety helmets. If two motorcyclists are chosen, what is the probability that both wear a safety helmet?

Use the figure below to answer the following question. What is the power output when the power gain is 22 db?

Find the median measurement for the set of measurements. 47.6347.6347.63 cm, 48.2348.2348.23 cm, 47.9747.9747.97 cm, 47.8847.8847.88 cm __________ cm

A bag contains 10 red and 15 white marbles. One marble is drawn. What is the probability that a white marble is drawn?

A trouser manufacturer has an order for 800,000 men's trousers in a normal distribution of waist sizes 28, 30, 32, 34, 36, 38, 40, 42, and 44 with a mean of 34 and a sample standard deviation of 1.8. Find the number of trousers to be made of each waist size.

A spinner has numbers 1-11 marked equally on the face. If the spinner is spun 3 times, what is the probability of getting an even and an odd and a 4?

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Binary and Hexadecimal Numbers

Filters

A technician measured the power usage of six appliances and recorded the following results. $104$ kW, $202$ kW, $174$ kW, $163$ kW, $187$ kW, $122$ kW What is the median measurement?

Find the sample standard deviation from the set of measurements below. $0.014,0.114,0.058,0.195,0.225,0.187,0.227,0.345,0.192,0.257,0.331,0.533$

Find the sample standard deviation from the set of measurements below. $0.81,0.39,1.67,0.72,1.07,0.78,1.15,1.98,0.063$

Find the median measurement for the set of measurements. $47.63$ cm, $48.23$ cm, $47.97$ cm, $47.88$ cm __________ cm