Deck 14: Calculating Means and Medians of Data Sets

Question 1

Find any modes that exist.
5, 9, 97, 3, 2, 8, 69, 1, 4, 16

A) No mode exists.
B) 9
C) 20.8
D) 8

Answer 1

A

Question 2

Find any modes that exist.
93, 25, 93, 13, 25, 29, 56, 93

A) 93
B) 25
C) 93, 25
D) 53.4

Answer 2

A

Question 3

Find the mean.
33, 43, 19, 39, 16

A) 30
B) 25
C) 43
D) 33

Answer 3

A

Question 4

Solve the problem.
The five sales people at Southwest Appliances earned commissions last year of $20,000, $29,000, $48,000, $17,000, and $29,000. Find the mean commission.

A) $31,460
B) $27,170
C) $30,030
D) $28,600

Question 5

Find the median.
13, 57, 275, 215, 378, 470

A) 275
B) 215
C) 201.5
D) 245

Question 6

Solve the problem.
The Wellspring Company has a fleet of seven trucks which get gas mileages of 19, 8, 16, 14, 18, 8, and 25 miles per gallon, respectively. What is the mean gas mileage for the fleet? Round your answer to the nearest mpg.

A) 14 mpg
B) 18 mpg
C) 16 mpg
D) 15 mpg

Question 7

Find the median.
$69.15, $52.55, $81.40, $74.35, $52.55

A) $52.55
B) $66.00
C) $81.40
D) $69.15

Question 8

Find the median.
8, 4, 28, 10, 29, 41, 35, 33

A) 28.5
B) 23.5
C) 28
D) 29

Question 9

Find the median.
2.7, 4.7, 8.5, 3.5

A) 3.5
B) 4.7
C) 4.1
D) 8.5

Question 10

Find the mean.
8.4, 8.6, 6.8, 8.6, 6.6

A) 8.6
B) 6.5
C) 8.4
D) 7.8

Question 11

Find the median.
13, 16, 35, 52, 63, 63, 79

A) 63
B) 46
C) 52
D) 35

Question 12

Solve the problem.
Some players are thinking about quitting the company softball team. Their batting averages are 0.223, 0.281, 0.223, 0.331, 0.206, 0.339, and 0.271, respectively. What is the mean batting average of these players? Round
Your answer to the nearest thousandth.

A) 0.281
B) 0.312
C) 0.244
D) 0.268

Question 13

Find any modes that exist.
106, 150, 156, 106, 188, 199, 162

A) 85
B) 150
C) 106
D) 156

Question 14

Find the median.
67, 66, 222, 150, 251, 241, 232

A) 222
B) 150
C) 176
D) 232

Question 15

Find the mean.
27, 39, 11, 35, 8, 39, 9

A) 24
B) 21
C) 39
D) 27

Question 16

Find any modes that exist.
$83, $41, $32, $41, $29, $83

A) No mode exists.
B) $83, $41
C) $83
D) $41

Question 17

Find the mean.
$22.75, $51.00, $39.15, $44.35, $22.75

A) $39.15
B) $30.00
C) $22.75
D) $36.00

Question 18

Find the median.
2, 3, 20, 21, 33, 33, 47

A) 20
B) 33
C) 23
D) 21

Question 19

Find any modes that exist.
7.2, 7.4, 5.6, 7.4, 5.4

A) 7.2
B) 7.4
C) 5.5
D) 6.6

Question 20

Find any modes that exist.
20, 21, 46, 21, 49, 21, 49

A) 32.4
B) 21
C) 46
D) 49

Question 21

Evaluate.

A) 83
B) 19
C) -237
D) -19

Question 22

Solve the problem.
The following prices per pound of ocean perch were found at seven supermarkets: $7.59, $8.49, $8.39, $8.59, $7.59, $8.29, $7.39
What is the median price per pound?

A) $7.59
B) $8.59
C) $8.39
D) $8.29

Question 23

Evaluate.

A) -150
B) -630
C) 1060
D) 150

Question 24

Solve the problem.
The following prices per pound of ocean perch were found at seven supermarkets: $6.59, $7.49, $7.39, $7.59, $6.59, $7.29, $6.39
What is the mode?

A) $7.59
B) $6.59
C) $7.39
D) $7.29

Question 25

Use synthetic division to divide.

A)
B)
C)
D)

Question 26

Use synthetic division to divide.
÷ (r - 8)

A)
B)
C)
D)

Question 27

Use synthetic division to divide.
÷ (x + 3)

A) x - 9
B) 7x - 9
C) -7x + 9
D) -9x + 3

Question 28

Solve the problem.

-Anthony wanted to buy a particular kind of cheese. He checked in five different stores and found the following prices per pound:
$6)75, $5.25, $6.45, $5.75, and $5.65What was the mean price per pound?

A) $6.75
B) $5.75
C) $6.07
D) $5.97

Question 29

Use synthetic division to divide.
÷ (x - 3)

A)
B)
C)
D)

Question 30

Evaluate.

A) 4
B) -4
C) -5
D) 0

Question 31

Use synthetic division to divide.

A)
B)
C)
D)

Question 32

Use synthetic division to divide.

A)
B)
C)
D)

Question 33

Solve the problem.
Jeremy's car gets 294 miles of highway driving on 7 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

A) 43 mpg
B) 44 mpg
C) 42 mpg
D) 41 mpg

Question 34

Use synthetic division to divide.
÷ (x - 5)

A)
B)
C)
D)

Question 35

Evaluate.

A) 10
B) 26
C) -70
D) -10

Question 36

Use synthetic division to divide.

A)
B)
C)
D)

Question 37

Solve the problem.
The following is a list of heights, in inches, of six people: What is the mode?

A) 70 inches
B) 70.5 inches
C) 66 inches
D) 74 inches

Question 38

Solve the problem.
The following is a list of heights, in inches, of six people: What is the median height?

A) 70.5 inches
B) 70 inches
C) 66 inches
D) 74 inches

Question 39

Evaluate.

A) 3
B) 102
C) -42
D) 42

Question 40

Use synthetic division to divide.
÷ (m + 3)

A)
B)
C)
D)

Question 41

Evaluate.

A) -62
B) -2
C) 170
D) 2

Question 42

Solve using matrices.
x + 6y = 6 2x - 5y = -5

A) (0, 0)
B) (0, 1)
C) (1, 0)
D) (1, 1)

Question 43

Evaluate.

A) -73
B) 53
C) -63
D) 63

Question 44

Evaluate.

A) -162
B) 162
C) 141
D) -183

Question 45

Evaluate.

A) -342
B) 288
C) 315
D) -315

Question 46

Solve using matrices.
5x - 2y = -1 x + 4y = 35

A) (2, 8)
B) (2, 9)
C) (3, 9)
D) (3, 8)

Question 47

Solve using matrices.
x + 7y = -2 3x + y = 34

A) (3, 7)
B) (12, -2)
C) (7, 12)
D) (-2, 3)

Question 48

Evaluate.

A) 392
B) -44
C) -4
D) 4

Question 49

Solve using Cramer's rule.
8a + 3c = 69 5a + 9b - 9c = 30
5a - 9b = -33

A) (7, 7, 7)
B) (6, -7, -7)
C) (6, 7, 7)
D) (7, 5, 7)

Question 50

Solve using Cramer's rule.
2x + 2y = 22 2x - 2y = 2

A) (5, 6)
B) (-5, 6)
C) (6, 5)
D) (-6, -5)

Question 51

Solve using matrices.
x + y + z = -5 x - y + 5z = -7
5x + y + z = 7

A) (-3, -5, 3)
B) (3, -5, -3)
C) (-5, -3, 3)
D) (-3, 3, -5)

Question 52

Solve using matrices.
2x + 4y = - 1 7x - y = 4

A)
B)
C)
D)

Question 53

Solve using Cramer's rule.
3x - 7y - z = -40 x - 4y - 5z = -36
-9x + y + z = -44

A) (6, -8, -2)
B) (7, 6, 2)
C) (6, 8, 2)
D) (8, 2, 8)

Question 54

Solve using Cramer's rule.
3x - 7y - 5z = -58 2x + 6y - 7z = 25
-4x - 6y - 2z = -56

A) (3, 5, 3)
B) (2, -7, -3)
C) (7, 3, 7)
D) (2, 7, 3)

Question 55

Solve using Cramer's rule.
2x - 2y = 2 2x + 3y = 37

A) (-7, 8)
B) (-8, -7)
C) (7, 8)
D) (8, 7)

Question 56

Solve using matrices.
x - y + 5z = -6 2x + z = -1
X + 5y + z = 4

A) (1, -1, 0)
B) (-1, 0, 1)
C) (-1, 1, 0)
D) (0, 1, -1)

Question 57

Solve using Cramer's rule.
5x + 5y = 10 5x + y = -10

A) (5, -3)
B) (-3, 5)
C) (3, -5)
D) (-5, -3)

Question 58

Solve using matrices.
x - 5y = -4 x + 8y = -4

A) (0, -4)
B) (4, 0)
C) (0, 4)
D) (-4, 0)

Question 59

Solve using matrices.
5x + 6y = 20 2x + 8y = 36

A) (-2, 5)
B) (5, 2)
C) (-2, -5)
D) (5, -2)

Question 60

Solve using matrices.
2x + y = 6 9x + 2y = 37

A) (-4, -5)
B) (5, -5)
C) (5, -4)
D) (-4, 5)

Question 61

Solve using matrices.
-5x - 7y - z = -60 x + 8y - 5z = 27
9x + y + z = 22

A) (1, 7, 6)
B) (7, 6, 1)
C) (1, 6, 7)
D) (-1, 7, 2)

Question 62

Solve using matrices.
6x + 6y = 2 9x - 6z = -8
2y - 3z = 1

A)
B)
C)
D)

Question 63

For the pair of functions, find the indicated sum, difference, product, or quotient.
f(x) = 4x - 4, g(x) = 6x - 6 Find (f -

A) 10x - 10
B) -2x - 10
C) -2x + 2
D) 2x - 2
G)(x).

Question 64

Solve.
Let f(x) = 3x + 8 and g(x) = + 2. Find f(7) + g(7) .

A) 176
B) 170
C) 178
D) 168

Question 65

Solve.
Let f(x) = -4x + 3 and g(x) = + 7. Find f(8) - g(8) .

A) -484
B) -480
C) -487
D) -477

Question 66

Solve.
Let f(x) = -6x + 8 and g(x) = + 1. Find f(8) · g(8) .

A) -21,552
B) -21,504
C) -17,920
D) -17,960

Question 67

Solve.
Let f(x) = 6x + 3 and g(x) = + 7. Find f(9) · g(9) .

A) 14,250
B) 13,500
C) 13,122
D) 13,851

Question 68

Solve.
Let f(x) = -9x + 7 and g(x) = + 4. Find f(3) + g(3) .

A) 43
B) 47
C) 36
D) 40

Question 69

Solve using matrices.
x + y = -2 2x + y = -3
Y + 2z = -11

A) (-1, 1, -5)
B) (-3, -1, -7)
C) (-2, -1, -10)
D) (-1, -1, -5)

Question 70

Solve.
Let f(x) = 7x + 3 and g(x) = 4 + 8. Find g(5) / f(5) .

A)
B)
C)
D)

Question 71

For the pair of functions, find the indicated sum, difference, product, or quotient.
Let f(x) = x - 2 and g(x) = - + 18x - 5. Find (f ·

A) -26
B) -510
C) 166
D) -78
G)(4).

Question 72

For the pair of functions, find the indicated sum, difference, product, or quotient.
Let f(x) = + 5 and g(x) = x + 3. Find (f -

A) 92
B) 78
C) -81
D) 86
G)(-4).

Question 73

Solve using matrices.
3x - y - 8z = 6 9x + 5z = 91
3y + z = 17

A) (5, 2, 9)
B) (-9, 5, 18)
C) (9, 5, 2)
D) (9, 2, 5)

Question 74

Solve.
Let f(x) = -8x + 6 and g(x) = - 1. Find g(2) - f(2) .

A) 44
B) 43
C) 37
D) 38

Question 75

Solve.
Let f(x) = -9x + 7 and g(x) = + 4. Find f(4) / g(4) .

A)
B)
C)
D)

Question 76

For the pair of functions, find the indicated sum, difference, product, or quotient.
Let f(x) = x + 1 and g(x) = x + 6. Find (f +

A) -15
B) -1
C) -3
D) -13
G)(-4).

Question 77

For the pair of functions, find the indicated sum, difference, product, or quotient.
Let f(x) = 5x - 7 and g(x) = + 14x + 5. Find (f/g)(-3)

A)
B)
C)
D)

Question 78

Solve.
Let f(x) = 6x + 8 and g(x) = + 7. Find f(7) - g(7) .

A) -195
B) -203
C) -202
D) -210

Question 79

Solve using matrices.
5x - y + 3z = 44 2x + 7y + 2z = 80
-4x - 3y + z = -52

A) (8, 4, 8)
B) (16, 8, -8)
C) (-8, 8, 16)
D) (8, 8, 4)

Question 80

Solve.
Let f(x) = 7x + 4 and g(x) = + 9. Find g(3) - f(3) .

A) 29
B) 24
C) 33
D) 20