Question 1

The data below represents the distance, in miles, that a class of students lives from the school. Calculate the mode for this group of data.

Accepted Answer

A)  22 
B)  19 
C)  27 
D)  20 
E)  17 
A)  22 
B)  19 
C)  27 
D)  20 
E)  17 E

Question 2

The Math Club has 13 members. How many different ways can 4 of the members be selected to attend a conference?

Accepted Answer

A)  715 
B)  17,160 
C)  28,561 
D)  286 
E)  52 
A)  715 
B)  17,160 
C)  28,561 
D)  286 
E)  52 A

Question 3

An ice cream store offers 29 different flavors of ice cream. How many triple-scoop ice cream cones are possible if each scoop must be a different flavor and the flavors can be in any order?

Accepted Answer

A)  21924 
B)  24389 
C)  3654 
D)  87 
E)  754 
A)  21924 
B)  24389 
C)  3654 
D)  87 
E)  754 C

Question 4

A class of college students collected data about how many siblings they had and how many siblings their mother had.   Calculate the standard deviation for the students' number of siblings.

Accepted Answer

A)  2.49 
B)  2.03 
C)  2.67 
D)  1.56 
E)  2.25 
A)  2.49 
B)  2.03 
C)  2.67 
D)  1.56 
E)  2.25

Question 5

How many different five-letter arrangements can be made using the letters in the word algebra?

Accepted Answer

A)  2520 
B)  5040 
C)  1260 
D)  21 
E)  42 
A)  2520 
B)  5040 
C)  1260 
D)  21 
E)  42

Question 6

A group of 3 children are each to choose one popsicle from a box of 6 : 2 grape, 2 cherry, and 2 orange. What is the probability that each child will get the flavor they want? ​

Accepted Answer

A)  0.8889 
B)  0.8333 
C)  0.6667 
D)  0 
E)  1 
A)  0.8889 
B)  0.8333 
C)  0.6667 
D)  0 
E)  1

Question 7

The following dates all have a similar pattern, the month and the day multiply to give the last two digits of the year. 6/12/72 3/25/75 5/19/95 In which of the five years below will such dates be most probable? 1924 1937 1973 1974 1988

Accepted Answer

A)  1937 
B)  1988 
C)  1973 
D)  1924 
E)  1974 
A)  1937 
B)  1988 
C)  1973 
D)  1924 
E)  1974

Question 8

A game of chance at the carnival costs $4 to play. The player picks a number between 1 and 6 and then three dice are rolled. If the number picked shows on all three dice the player wins $19. If the number picked shows on two of the dice then the player wins $13. If the number shows up once, $9 is won, and if it doesn't show up at all the player owes another $4. What is the player's expected value for this game?

Accepted Answer

A)  -$2.20 
B)  -$0.51 
C)  -$3.77 
D)  $4.67 
E)  $8.67 
A)  -$2.20 
B)  -$0.51 
C)  -$3.77 
D)  $4.67 
E)  $8.67

Question 9

The table below shows the age of the winners of the Clark County Innovation Award, given annually to a member of the community for the best invention, for the years 1960 through 1989.   Construct a stem-and-leaf plot to display this data.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

What is the probability of rolling a 4 on a standard die 3 times in a row? ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

How many ways are there to arrange 3 students in a row of seats?

Accepted Answer

A)  12 
B)  9 
C)  27 
D)  3 
E)  6 
A)  12 
B)  9 
C)  27 
D)  3 
E)  6

Question 12

An oil company is trying to decide if it will be worth their money to drill a well in a certain area. They determine that it will cost $125,000 to drill the well. The three possible outcomes of the drilling are a dry well, a "medium" strike that would produce about $700,000, and a big strike that would produce about $1,250,000. The company has estimated that the probability of a "medium" strike is 1/10 and the probability of a big strike is 1/22. What is the oil company's expected value for drilling a well in this area?

Accepted Answer

A)  $31,818.18 
B)  $1818.18 
C)  -$126,818.18 
D)  $116,401.52 
E)  -$108,636.36 
A)  $31,818.18 
B)  $1818.18 
C)  -$126,818.18 
D)  $116,401.52 
E)  -$108,636.36

Question 13

Two dice are rolled. ​ a. What is the probability that the sum of the dots on the upward faces is 2? b. What is the probability that the sum of the dots on the upward faces is 14? c. What is the probability that the sum of the dots on the upward faces is less than 15? d. What is the probability that the sum of the dots on the upward faces is 6? ​

Accepted Answer

A)  (a)   ; (b) 0; (c) 1; (d)   
B)  (a)   ; (b) 1; (c) 0; (d)   
C)  (a)   ; (b) 1; (c) 0; (d)   
D)  (a)   ; (b) 0; (c) 1; (d)   
E)  (a)   ; (b) 1; (c) 0; (d)   
A)  (a)   ; (b) 0; (c) 1; (d)   
B)  (a)   ; (b) 1; (c) 0; (d)   
C)  (a)   ; (b) 1; (c) 0; (d)   
D)  (a)   ; (b) 0; (c) 1; (d)   
E)  (a)   ; (b) 1; (c) 0; (d)

Question 14

The line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. What is the average snowfall during March? ​   ​

Accepted Answer

A)  19 inches 
B)  17 inches 
C)  16 inches 
D)  15 inches 
E)  20 inches 
A)  19 inches 
B)  17 inches 
C)  16 inches 
D)  15 inches 
E)  20 inches

Question 15

A tire company tested a particular model of super radial tire and found the tires to be normally distributed with respect to wear. The "average" (mean) tire wore out at 44,000 miles, and the standard deviation was 6,500 miles. Approximately what percent of the tires are likely to wear out before 36,200 miles? ​

Accepted Answer

A)  33 % 
B)  28 % 
C)  23 % 
D)  3 % 
E)  13 % 
A)  33 % 
B)  28 % 
C)  23 % 
D)  3 % 
E)  13 %

Question 16

The number of big-screen televisions sold each month for 1 year was recorded by an electronics store. The results were 18 , 15 , 24 , 24 , 21 , 19 , 27 , 29 , 19 , 24 , 18 , and 38 . Calculate the mean, the median, and the mode of the number of televisions sold per month.

Accepted Answer

A)  Mean: 22.5 TVs; median: 24 TVs; mode: 23 TVs 
B)  Mean: 22.5 TVs; median: 22.5 TVs; mode: 24 TVs 
C)  Mean: 23 TVs; median: 23 TVs; mode: 22.5 TVs 
D)  Mean: 23 TVs; median: 22.5 TVs; mode: 24 TVs 
E)  Mean: 23 TVs; median: 24 TVs; mode: 22.5 TVs 
A)  Mean: 22.5 TVs; median: 24 TVs; mode: 23 TVs 
B)  Mean: 22.5 TVs; median: 22.5 TVs; mode: 24 TVs 
C)  Mean: 23 TVs; median: 23 TVs; mode: 22.5 TVs 
D)  Mean: 23 TVs; median: 22.5 TVs; mode: 24 TVs 
E)  Mean: 23 TVs; median: 24 TVs; mode: 22.5 TVs

Question 17

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What percent of the passenger cars were produced in Latin America? Round your answer to the nearest percent.

Accepted Answer

A)  21 % 
B)  28 % 
C)  38 % 
D)  5 % 
E)  8 % 
A)  21 % 
B)  28 % 
C)  38 % 
D)  5 % 
E)  8 %

Question 18

On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number? ​

Accepted Answer

A)  51 
B)  76 
C)  66 
D)  61 
E)  64 
A)  51 
B)  76 
C)  66 
D)  61 
E)  64

Question 19

The heights of 1100 boys at West High School were measured, and the mean was found to be 74 inches, with a standard deviation of 2.7 inches. If the heights are approximately normally distributed, what range of heights will include 95% of the boys? ​

Accepted Answer

A)  70.3 and 77.7 inches tall 
B)  69.1 and 78.9 inches tall 
C)  71.4 and 76.6 inches tall 
D)  68.6 and 79.4 inches tall 
E)  71.3 and 76.7 inches tall 
A)  70.3 and 77.7 inches tall 
B)  69.1 and 78.9 inches tall 
C)  71.4 and 76.6 inches tall 
D)  68.6 and 79.4 inches tall 
E)  71.3 and 76.7 inches tall

Question 20

A drawer has 10 red socks and 10 blue socks. If 3 socks are selected from the drawer, without replacement, what is the probability that they will all be the same color?

Accepted Answer

A)  0.3000 
B)  0.0225 
C)  0.1500 
D)  0.2105 
E)  0.1667 
A)  0.3000 
B)  0.0225 
C)  0.1500 
D)  0.2105 
E)  0.1667

The data below represents the distance, in miles, that a class of students lives from the school. Calculate the mode for this group of data.

The Math Club has 13 members. How many different ways can 4 of the members be selected to attend a conference?

An ice cream store offers 29 different flavors of ice cream. How many triple-scoop ice cream cones are possible if each scoop must be a different flavor and the flavors can be in any order?

A class of college students collected data about how many siblings they had and how many siblings their mother had. Calculate the standard deviation for the students' number of siblings.

How many different five-letter arrangements can be made using the letters in the word algebra?

A group of 3 children are each to choose one popsicle from a box of 6 : 2 grape, 2 cherry, and 2 orange. What is the probability that each child will get the flavor they want?

The following dates all have a similar pattern, the month and the day multiply to give the last two digits of the year. 6/12/72 3/25/75 5/19/95 In which of the five years below will such dates be most probable? 1924 1937 1973 1974 1988

The table below shows the age of the winners of the Clark County Innovation Award, given annually to a member of the community for the best invention, for the years 1960 through 1989. Construct a stem-and-leaf plot to display this data.

What is the probability of rolling a 4 on a standard die 3 times in a row?

How many ways are there to arrange 3 students in a row of seats?

The line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. What is the average snowfall during March?

The number of big-screen televisions sold each month for 1 year was recorded by an electronics store. The results were 18 , 15 , 24 , 24 , 21 , 19 , 27 , 29 , 19 , 24 , 18 , and 38 . Calculate the mean, the median, and the mode of the number of televisions sold per month.

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What percent of the passenger cars were produced in Latin America? Round your answer to the nearest percent.

On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number?

The heights of 1100 boys at West High School were measured, and the mean was found to be 74 inches, with a standard deviation of 2.7 inches. If the heights are approximately normally distributed, what range of heights will include 95% of the boys?

A drawer has 10 red socks and 10 blue socks. If 3 socks are selected from the drawer, without replacement, what is the probability that they will all be the same color?

Foundations for Learning Mathematics

The Number System

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Geometry As Shape

Geometry As Measurement

Geometry As Transforming Shapes

Filters

Exam 7: Understanding Statistics and Probability

The data below represents the distance, in miles, that a class of students lives from the school. Calculate the mode for this group of data.

The Math Club has 13 members. How many different ways can 4 of the members be selected to attend a conference?

An ice cream store offers 29 different flavors of ice cream. How many triple-scoop ice cream cones are possible if each scoop must be a different flavor and the flavors can be in any order?

A class of college students collected data about how many siblings they had and how many siblings their mother had. Calculate the standard deviation for the students' number of siblings.

How many different five-letter arrangements can be made using the letters in the word algebra?

A group of 3 children are each to choose one popsicle from a box of 6 : 2 grape, 2 cherry, and 2 orange. What is the probability that each child will get the flavor they want? ​

The following dates all have a similar pattern, the month and the day multiply to give the last two digits of the year. 6/12/72 3/25/75 5/19/95 In which of the five years below will such dates be most probable? 1924 1937 1973 1974 1988

The table below shows the age of the winners of the Clark County Innovation Award, given annually to a member of the community for the best invention, for the years 1960 through 1989. Construct a stem-and-leaf plot to display this data.

What is the probability of rolling a 4 on a standard die 3 times in a row? ​

How many ways are there to arrange 3 students in a row of seats?

The line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. What is the average snowfall during March? ​ ​

The number of big-screen televisions sold each month for 1 year was recorded by an electronics store. The results were 18 , 15 , 24 , 24 , 21 , 19 , 27 , 29 , 19 , 24 , 18 , and 38 . Calculate the mean, the median, and the mode of the number of televisions sold per month.

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What percent of the passenger cars were produced in Latin America? Round your answer to the nearest percent.

On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number? ​

The heights of 1100 boys at West High School were measured, and the mean was found to be 74 inches, with a standard deviation of 2.7 inches. If the heights are approximately normally distributed, what range of heights will include 95% of the boys? ​

A drawer has 10 red socks and 10 blue socks. If 3 socks are selected from the drawer, without replacement, what is the probability that they will all be the same color?

Foundations for Learning Mathematics

The Number System

Understanding Addition and Subtraction

Understanding Multiplication and Division

Proportional Reasoning

Algebraic Thinking

Geometry As Shape

Geometry As Measurement

Geometry As Transforming Shapes

Filters

A group of 3 children are each to choose one popsicle from a box of 6 : 2 grape, 2 cherry, and 2 orange. What is the probability that each child will get the flavor they want?

What is the probability of rolling a 4 on a standard die 3 times in a row?

The line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. What is the average snowfall during March?

On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number?

The heights of 1100 boys at West High School were measured, and the mean was found to be 74 inches, with a standard deviation of 2.7 inches. If the heights are approximately normally distributed, what range of heights will include 95% of the boys?