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Mean, median, mode, and range: find the missing number

Baldwin has the following data:

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5, 17, t, 12

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If the range is

12

, which number could

t

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(A)

17

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(B)

4

Barbara has the following data:

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16, 14, 15, s, 5, 10

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If the range is

11

, which number could

s

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(A)

15

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(B)

4

Haley has the following data:

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x, 13, 16, 18, 19

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19

, which number could

x

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18

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19

Mateo has the following data:

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16, 18, y, 20, 14

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If the range is

6

, which number could

y

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(A)

8

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(B)

18

Nora has the following data:

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10, 16, 6, c, 17, 10

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If the range is

11

, which number could

c

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(A)

18

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(B)

9

Hannah has the following data:

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q, 4, 8, 8, 3

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If the median is

4

, which number could

q

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8

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3

Bryan has the following data:

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3, 3, 3, 8, r

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If the range is

5

, which number could

r

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12

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3

Zachary has the following data:

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16, 18, 20, v, 16

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If the median is

18

, which number could

v

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(A)

20

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(B)

14

Addison has the following data:

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11, c, 4, 9, 7, 12

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9

, which number could

c

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(A)

5

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(B)

11

Mackenzie has the following data:

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s, 11, 9, 20, 9

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13

, which number could

s

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(A)

16

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(B)

26

Oliver has the following data:

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m, 14, 17, 19, 15, 15

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16

, which number could

m

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16

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34

Which interval notation represents the set of all numbers greater than

2

and less than or equal to

7

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(2,7)

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(2,7]

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[2,7]

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[2,7)

Which interval notation represents the set of all numbers greater than

2

and less than or equal to

8

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(2,8)

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(2,8]

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[2,8)

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[2,8]

Here are four matrices:

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\begin{array}{l} \mathbf{A}=\left[\begin{array}{l} 3 \\ 4 \\ 5 \end{array}\right] \quad \mathbf{B}=\left[\begin{array}{cc} -1 & -3 \\ 0 & 4 \end{array}\right] \\ \mathbf{C}=\left[\begin{array}{l} 2 \\ 1 \\ 0 \end{array}\right] \quad \mathbf{D}=\left[\begin{array}{ll} -5 & 2 \\ 3 & -4 \end{array}\right] \end{array}

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Which of the following calculations are possible?

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Choose all answers that apply:

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\mathbf{A}+\mathbf{C}

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\mathbf{B}+\mathbf{C}

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\mathbf{C}-\mathbf{A}

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\mathbf{D}-\mathbf{B}

J

(-4,4)

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Select all of the following that are

4

units from point

J

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Choose all answers that apply:

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x

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(-4,8)

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y

Which of the following options have the same value as

15 \%

20

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3

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\frac{3}{20} \cdot 20

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15 \cdot 20

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0.15 \cdot 20

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\frac{15}{100} \cdot 20

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15 \cdot 0.02

Which of the following options have the same value as

60 \%

94

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3

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0.06 \cdot 94

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0.6 \cdot 94

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\frac{3}{5} \cdot 94

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60 \cdot 94

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\frac{60}{100} \cdot 94

Which of the following options have the same value as

25 \%

64

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2

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25 \cdot 64

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\frac{25}{100} \cdot 64

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0.25 \cdot 64

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64 \div \frac{25}{100}

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25 \div \frac{64}{100}

Which of the following options have the same value as

75 \%

96

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3

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\frac{3}{4} \cdot 96

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\frac{75}{100} \cdot 96

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0.75 \cdot 96

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\frac{4}{3} \cdot 96

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75 \cdot 96

Which of the following options have the same value as

70 \%

80

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3

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\frac{70}{100} \cdot 80

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0.7 \cdot 0.8

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0.7 \cdot 80

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70 \cdot 80

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\frac{7}{10} \cdot 80

Which of the following options have the same value as

10 \%

33

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3

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0.1 \cdot 0.33

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10 \cdot 33

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\frac{1}{10} \cdot 33

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0.1 \cdot 33

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\frac{10}{100} \cdot 33

The following data points represent the number of children in each household on Maple Street.

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0,1,2,1,2

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Find the mean number of children.

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Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following list.

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13,0,14,36,18,9

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Find the mean absolute deviation (MAD) of the data set.

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The following data points represent the number of alligators in each body of water near Tom's house.

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8,5,12,15

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Find the mean absolute deviation (MAD) of the data set.

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A group of kids just finished trickor-treating. The number of pieces of candy collected by each kid is listed below.

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47,35,32,41,30

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Find the mean number of pieces of candy.

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pieces of candy

Anduin casts a variety of healing spells. The number of health points that each of his healing spells restores is listed below.

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43,57,30,18,26,12

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Find the mean number of health points.

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The following data points represent the number of songs each member of the band Python Sunboat has written.

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5,2,9,21,12,3

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Find the median number of songs.

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The following data points represent the number of points scored last basketball game by each player on the Dragons basketball team.

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5,8,11,7, ?

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If the mean of the data set is

8

points, find the missing number of points.

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The following data points represent the volume of gas in each race car driver's tank (in liters).

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4,5,13, ?

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If the mean of the data set is

7 \mathrm{~L}

, find the missing volume of gas.

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The following data points represent the number of remote controllers each student in Lena's video game club owns.

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1,0,3, ?

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If the mean of the data set is

2

remote controllers, find the missing number of remote controllers.

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remote controllers

g

y=g(x)

g(x)

(x+10)

, the remainder is

-20

. Which of the following is closest to the remainder when

g(x)

(x-10)

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1

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-28

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-2

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2

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28

We want to factor the following expression:

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x^{4}-14 x^{2}+49

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Which pattern can we use to factor the expression?

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U

V

are either constant integers or single-variable expressions.

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1

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(U+V)^{2}

(U-V)^{2}

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(U+V)(U-V)

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(C) We can't use any of the patterns.

A baker at a successful bakery makes three types of cupcakes: vanilla, red velvet, and double chocolate. On Wednesday, he made

18

vanilla cupcakes, which was

17 \%

of the total amount of cupcakes he made. How many total cupcakes did the baker make on Wednesday?

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1

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35

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54

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94

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\mathbf{1 0 6}

A student answered

86

problems correctly, which was

81.9 \%

of the total number of problems on the test. How many problems did the student answer incorrectly?

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1

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4

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19

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86

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105

Leon is helping his baby sister Daphne eat her dinner. There are

12

peas left in Daphne's bowl and

7

peas squished in her hair.

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What is the ratio of peas in Daphne's bowl to peas in her hair?

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1

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\mathbf{1 2}

7

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\mathbf{1 2}

\mathbf{1 9}

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7

19

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19

7

Dean loves rocks. Altogether, they have

6

pieces of granite,

3

pieces of marble, and

14

pieces of sandstone.

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What is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?

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1

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9: 14

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14: 9

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14: 23

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23: 14

Katie loves to read. In the last few months they have read

3

graphic novels,

2

4

sci-fi novels, and

21

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What is the ratio of mysteries to comic books?

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1

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21: 30

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2: 21

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2: 28

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21: 2

Mateo's home is

x

miles away from school. If Lexi's home is twice as far from school as Mateo's home, which of the following expressions represents the distance between Lexi's home and school, in miles?

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1

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x-2

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x+2

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2 x

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\frac{x}{2}

What is the value of

\sin \left(\frac{\pi}{4}\right) ?

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1

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\frac{1}{2}

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\frac{\sqrt{2}}{2}

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\frac{\sqrt{3}}{2}

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45

\begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array}

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The given system of equations has solution

(x, y)

. What is the value of

x

Which of the following is the value of

\sin \left(\frac{\pi}{2}\right) ?

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1

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-1

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0

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\frac{\sqrt{2}}{2}

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1

Which of the following is the value of

\tan (\pi)

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1

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1

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0

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-1

\newline

\tan (\pi)

What is the value of

\tan \left(\frac{\pi}{3}\right)

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1

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\frac{1}{2}

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\frac{\sqrt{3}}{3}

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\frac{\sqrt{3}}{2}

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\sqrt{3}

Which of the following expressions is equivalent to

-2 x y+18

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1

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-2(x y-9)

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-2(x y+9)

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2(x y-9)

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2(x y+9)

x-3 y=8

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y^{2}=x-4 y-2

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(x, y)

is a solution to the system of equations shown, which of the following are

y

-coordinates of the solutions?

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1

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-1

-3

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14

2

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-2

3

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2

-3

g=15-\frac{m}{32}

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If Vera starts with a full tank of gas, the number of gallons of gas,

g

, left in the tank after driving

m

miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

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1

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15

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17

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32

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480

Liam has the following data:

20,7,x,20

. If the mean is

14

, which number could

x

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(A)9

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(B)21