1. Choose the correct elements in the set for the following:

{y:yisanintegerandy3}

a. {3,4,5,6,...}

b. {2,1,0,1,2,...}

c. {1,0,1,2,..}

d. {3,2,1,0,...}

2. Choose the correctSet-builder form for the following set written in Roster form:

{0,1,2,3,4,5.......}

a. {x:xisanintegerandx0}

b. {x:xisanintegerand0x5}

c. {x:xisanintegerandx<0}

d. {x:x is an integer and x0}

3. What is the total number of proper subsets of a set containing n elements?

a. 2n

b. 2n1

c. 2n1

d. 2(n1)

e. n

f. 2n

4. Which of the following is a subset of set A={1,2,3,4,5,6}?

a. {7}

b. {0}

c.

d. {7,8,9}

e. {0,1,2,3,4,5,6}

5. The sets L and J are defined as follows:

L={d,e,g}

J={b,c,h}

Find the intersection of L and J .

a. LJ={b,c,d,e,g,h}

b. LJ={b,c,d,e,g,h}

c. LJ=

d. LJ=

6. Sets A and I are defined as follows:

A={5,2,0,2,5}

I={5,1,1,5,8}

Find the union of A and I.

a. AI={5,2,1,0,1,2,5,8}

b. AI={5,2,1,0,1,2,5,8}

c. AI={2,1,5}

d. AI={2,1,5}

7. Use the combination formula below to find the number of outcomes when n = 8 and r = 4.

n!(nr)!r!

a. 32

b. 1,680

c. 4,096

d. 70

8. How many ways can four numbers be drawn from a group of ten numbers if the order does not matter?

a. 210

b. 21

c. 5040

d. 40

9. Evaluate 12P5

a. 95,040

b. 248,832

c. 60

d. 792

10. Use the combination formula below to find the number of outcomes when n = 6 and r = 3.

n!(nr)!r!

a. 30

b. 9

c. 20

d. 18

11. Which inequality statement best describes the probability of event (P)?

a. 0P1

b. 1P2

c. 0.1P0.9

d. 0P0.99

12. What are the odds of winning a game, if the probability of winning the game is 311?

Remember:

The probability of an event happening is the fraction: favorableoutcomestotaloutcomes.

The odds of winning are given by the ratio: wins:losses.

a. 8:3

b. 3:11

c. 8:11

d. 3:8

13. Sets L and J are defined as follows:

L={g,h,i,j,k}

J={i,l,m,n,o}

Find the intersection of L and J.

a. LJ=

b. LJ={g,h,i,j,k,l,m,n,o}

c. LJ={i}

d. LJ={i}

14. B= {x | x is an even whole number less than 9}.

Find AB.

a. AB={1,2,3,4,6,8}

b. AB={1,2,3,4,6,8,9}

c. AB={1,2,3,6}

d. AB={2,4,6,8}

15. Choose the correct elements in the set for the following:

{y:yisanintegerandy6}

a. {...,9,8,7}

b. {...,9,8,7,6}

c. { 6,5,4,3,2,1,0,...}

d. { 5,4,3,2,1,0,...}

16. Choose the correctelements in the setfor the following:

{b:bisanintegerandb4}

a. {5,6,7,8....}

b. {3,21,0,1...}

c. {4,3,2,1,0...}

d. {4,5,6,7.....}

17. Choose the correct Set-builder form for the following set written in Roster form:

{9,8,7,6,5,4,3,...}

a. {x:xisanintegerand9x3}

b. {x:xisanintegerandx9}

c. {x:xisanintegerandx<2}

d. {x:x is an integar and 10x2} 18. Choose the correctSet-builder form for the following set written in Roster form:

{0,1,2,3,4,5.......}

a. {x:xisanintegerandx0}

b. {x:xisanintegerand0x5}

c. {x:xisanintegerandx<0}

d. {x:x is an integar and x10}

19. Let set B be defined as follows:

B={1,2,3,4,5,6}

Find the total number of subsets of set B?

Choose one 4 points

a. 6

b. 12

c. 24

d. 32

e. 64

f. 128

20. Use the permutation formula below to find the number of outcomes when n = 10 and r = 6.

n!(nr)

a. 210

b. 60

c. 151,200

d, 10,600

21. Use the permutation formula below to find the number of outcomes when n = 7 and r = 5.

n!(nr)!

a. 15

b. 35

c. 21

d. 2520

22. How many ways can four numbers be drawn from a group of ten numbers if the order does not matter?

a. 210

b. 21

c. 5040

d. 40

23. A high school debate team must elect a president, vice president, and treasurer from its12 members. How many ways can they be chosen?

a. 220

b. 36

c. 1,320

d. 1,728

24. Which inequality statement best describes the probability of event (P)?

a. 0P1

b. 1P2

c. 0.1P0.9

d. 0P0.99

25. What are the odds of not rolling a three on a standard six-sided die?

a. 1:4

b. 5:1

c. 1:6

d. 1:5

26. What are the odds of winning a game, if the probability of winning the game is 311?

Remember:

The probability of an event happening is the fraction: favorableoutcomestotaloutcomes.

The odds of winning are given by the ratio: wins:losses.

a. 8:3

b. 3:11

c. 8:11

d. 3:8

27. What are the odds of losing a game, if the probability of winning the game is 310?

Remember:

The probability of an event happening is the fraction: favorableoutcomestotaloutcomes.

The odds of losing is the ratio: losses:wins.

a. 3:7

b. 3:10

c. 7:3

d. 1:3

28. The prices of 10 single-family, three bedroom homes for sale in Santa Rosa, California are listed for a recent year. Find the mean of the following home prices:

$850,000 $835,500 $839,000 $829,000 $850,000 $850,000 $850,000 $847,000 $1,850,000 $825,000.

a. $900,000

b. $924,000

c. $850,000

d. 942,500

29. For a recent year, the number of albums sold (in millions) is listed for the 10 best sellers. Find the median number of albums sold.

2.7,3.0,4.8,7.4,3.4,2.6,3.0,3.0,3.9,3.2

a. 2.9 million albums

b. 3.0 million albums

c. 3.1 million albums

d. 3.5 million albums

30. The prices of 10 single family, three bedroom homes for sale in Santa Rosa, California are listed for a recent year. Find the mode of the following home prices:

$850,000 $835,500 $839,000 $829,000 $850,000 $850,000 $850,000 $847,000 $1,850,000 $825,000

a. $850,000

b. $942,500

c. $800,000

d. $855,000

31. The data set below provides the monthly rent (in dollars) paid by5 tenants.

879,920,940,950,990

Suppose the rent for one of the tenants changes from $940 to $1115.

What is the mean before the rent changes?

What is the mean after the rent changes?

a. Before the rent changes, the mean is $935.80.

After the rent changes, the mean is $970.80.

b. Before the rent changes, the mean is $940.

After the rent changes, the mean is $936.80.

c. Before the rent changes, the mean is $950.80.

After the rent changes, the mean is $972.

32. The data set below provides the number of DVD movies owned by5 students .

75,78,81,90,96

Suppose that the number75 from the data set below changed to 85.

What is the mean before the change? After the change?

What is the median before the change? After the change?

Choose one 1 point

a. Mean before the change = 87. Mean after the change =88

Median before the change = 95. Median after the change =90

b. Mean before the change = 84. Mean after the change =86

Median before the change = 81. Median after the change =85

c. Mean before the change = 88. Mean after the change =89

Median before the change = 90. Median after the change =95

d. Mean before the change = 86. Mean after the change =84

Median before the change = 85. Median after the change = 95

33. In a recent survey,8 people were asked how far they drive to work. Here are the responses.

Find the range of this data set.

20,7,4,6,21,10,4,12.

a. 17

b. 16

c. 10

d. 21

34. In a restaurant survey, 6 people were asked how much money they spent on lunch. The dollar amounts are listed below.

Find the range of this data set.

25,14,9,20,16,55

a. 15

b. 55

c. 9

d. 46

35. Find the variance and the standard deviation of the following set:

{\(1, 2, 3, 4, 5\}

If necessary, round to the nearest hundredth.

a. Variance: 2

Standard Deviation: 1.41

b. Variance: 3

Standard Deviation: 1.73

c. Variance: 1

Standard Deviation: 1

d. Variance: 5

Standard Deviation: 2.24

36. Ralph was keeping scores on his last 5 rounds of golf. He shot an 83,81,79,75 and his best game which was a 70. What is the standard deviationof his golf scores?

If necessary, round to the nearest hundredth.

a. 4.63

b. 5.23

c. 21.44

d. 27.35

37. The data set below provides the time 10 adults spent in their car traveling to and from work.

Here are the results in hours:

10,7,8,9,9,12,15,14,5,13

Find the mean of the data set.If necessary, round the answer to the nearest tenth.

a. 10.2

b. 10.3

c. 9.3

d. 9.1

38. Andrew recorded the daily low temperatures (in Celsius degrees) at his home in Virginia for 8 days in January. Find the median temperature.

5,6,5,1,4,11,8,5

a. 5 degrees Celsius

b. 4.5 degrees Celsius

c.3. degrees Celsius

d. 1.5 degrees Celsius

39. The data set below provides the number of hours that a sample of8 college students spent playing video games on Saturday.

7,11,12,14,8,4,10,11

Find the meanof the data set. If necessary, round the answer to the nearest tenth.

a. 8.9

b. 9

c. 10.5

d. 9.6

40. The data set below shows the number of students in 12 math classrooms.

16,18,20,19,19,18,20,25,27,18,20,23

Find the mode(s) for this data set.

a. 18,20

b. 19,20

c. 19,22

d. 19

41. Nora's math test results for her last 6 assignments are listed.

Find the median score.

52%, 85%, 89%, 90%, 83%, 89%

a. 87.5%

b. 89%

c. 86.5%

d. 87%

42. The data set below providesthe number of children for each of the 12 adults in a survey.

3,2,1,5,2,2,0,1,1,4,0,2

Find the modeof this data set.

Choose one 5 points

a. 1,2

b. 2

c. 1

d. 0

43. The data set below provides the number of DVD movies owned by5 students .

75,78,81,90,96

Suppose that the number75 from the data set below changed to 85.

What is the mean before the change? After the change?

What is the median before the change? After the change?

a. Mean before the change = 87. Mean after the change =88

Median before the change = 95. Median after the change =90

b. Mean before the change = 84. Mean after the change =86

Median before the change = 81. Median after the change =85

c. Mean before the change = 88. Mean after the change =89

Median before the change = 90. Median after the change =95

d. Mean before the change = 86. Mean after the change =84

Median before the change = 85. Median after the change = 95

44. The data set below provides the monthly rent (in dollars) paid by7 tenants.

990,879,940,1010,950,920,1430

Suppose the rent for one of the tenants changes from $1430 to $1115.

What is the mean before the rent change?

What is the mean after the change

a. Before the rent change, the mean was $990.After the rent change, the mean becomes $963.

b. Before the rent change, the mean was $1017. After the rent change, the mean becomes $936

c. Before the rent changes, the mean is $1017. After the rent changes, the mean is $972.

45. The instructor noted the following scores on the last quiz of the semester for7 students.

Find the range of this data set.

59,61,83,67,81,80,81.

a. 20

b. 24

c. 21

d. 80

46. In a restaurant survey, 8 people were asked how much money they spent on lunch. The dollar amounts are listed below.

Find the range of this data set.

25,14,9,20,16,8,12,8.

a. 15

b. 10

c. 14

d. 17

47. Find the variance and the standard deviation of the following set:

1,3,4,5,7

If necessary, round to the nearest hundredth.

a. Variance: 2

Standard Deviation: 1.41

b. Variance: 3

Standard Deviation: 1.73

c. Variance: 4

Standard Deviation: 2

d. Variance: 5

Standard Deviation: 2.24

48. Billy took 5 test in his math class. He scored an89,88,93,90 and 81. What is the standard deviationof his grades in these test?

If necessary, round to the nearest hundredth.

(We use population standard deviation.)

a. 15.76

b. 3.97

c. 4.63

d. 27.35