Question 1

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

Accepted Answer

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

Question 2

Solve using Cramer's rule.
-$$\begin{array} { r } 
3 x - 7 y - z = - 40 \
x - 4 y - 5 z = - 36 \
- 9 x + y + z = - 44
\end{array}$$

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Solve using Cramer's rule.
-$\begin{array} { l } 
8 a \quad + 3 c = 69 \
5 a + 9 b - 9 c = 30 \
5 a - 9 b \quad = - 33
\end{array}$

Accepted Answer

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

Question 5

Use synthetic division to divide.
-$$\left( x ^ { 5 } - 243 \right) \div ( x - 3 )$$

Accepted Answer

A)  $x ^ { 4 } + 3 x ^ { 3 } + 9 x ^ { 2 } + 27 x + 81$ 
B)  $x ^ { 4 } + 3 x ^ { 3 } + 9 x ^ { 2 } + 27 x + 81 + \frac { - 243 } { x - 3 }$ 
C)  $x ^ { 4 } - 3 x ^ { 3 } + 9 x ^ { 2 } - 27 x + 81$ 
D)  $x ^ { 4 } + 3 x ^ { 3 } + 3 x ^ { 2 } + 3 x + 3$ 
A)  $x ^ { 4 } + 3 x ^ { 3 } + 9 x ^ { 2 } + 27 x + 81$ 
B)  $x ^ { 4 } + 3 x ^ { 3 } + 9 x ^ { 2 } + 27 x + 81 + \frac { - 243 } { x - 3 }$ 
C)  $x ^ { 4 } - 3 x ^ { 3 } + 9 x ^ { 2 } - 27 x + 81$ 
D)  $x ^ { 4 } + 3 x ^ { 3 } + 3 x ^ { 2 } + 3 x + 3$

Question 6

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

Accepted Answer

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

Question 7

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?

Accepted Answer

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

Question 8

Use synthetic division to divide.
-$$\left( 6 m ^ { 3 } + 10 m ^ { 2 } - 18 m + 18 \right) \div ( m + 3 )$$

Accepted Answer

A)  $m ^ { 2 } + 8 m + 6$ 
B)  $6 m ^ { 2 } + 8 m + 6$ 
C)  $m ^ { 2 } + 9 m + 10$ 
D)  $6 m ^ { 2 } - 8 m + 6$ 
A)  $m ^ { 2 } + 8 m + 6$ 
B)  $6 m ^ { 2 } + 8 m + 6$ 
C)  $m ^ { 2 } + 9 m + 10$ 
D)  $6 m ^ { 2 } - 8 m + 6$

Question 9

Evaluate.
-$\left| \begin{array} { r r } 8 & - 9 \ - 2 & 1 \end{array} \right|$

Accepted Answer

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

Question 10

Evaluate.
-$$\left| \begin{array} { r r r } 
7 & - 5 & 3 \
0 & 1 & 2 \
0 & 0 & - 9
\end{array} \right|$$

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

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?

Accepted Answer

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

Question 13

Evaluate.
-$\left| \begin{array} { r r r } 5 & - 4 & - 4 \ 2 & - 3 & - 4 \ - 2 & 4 & 3 \end{array} \right|$

Accepted Answer

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

Question 14

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.

Accepted Answer

A)  $14 \mathrm { mpg }$ 
B)  $18 \mathrm { mpg }$ 
C)  $16 \mathrm { mpg }$ 
D)  $15 \mathrm { mpg }$ 
A)  $14 \mathrm { mpg }$ 
B)  $18 \mathrm { mpg }$ 
C)  $16 \mathrm { mpg }$ 
D)  $15 \mathrm { mpg }$

Question 15

Use synthetic division to divide.
-$$\left( y ^ { 6 } + 3 \right) \div ( y - 1 )$$

Accepted Answer

A)  $y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1 + \frac { 4 } { y - 1 }$ 
B)  $y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1$ 
C)  $y ^ { 5 } - y ^ { 4 } + y ^ { 3 } - y ^ { 2 } + y - 1$ 
D)  $y ^ { 5 } - y ^ { 4 } + y ^ { 3 } - y ^ { 2 } + y - 1 + \frac { 4 } { y - 1 }$ 
A)  $y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1 + \frac { 4 } { y - 1 }$ 
B)  $y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1$ 
C)  $y ^ { 5 } - y ^ { 4 } + y ^ { 3 } - y ^ { 2 } + y - 1$ 
D)  $y ^ { 5 } - y ^ { 4 } + y ^ { 3 } - y ^ { 2 } + y - 1 + \frac { 4 } { y - 1 }$

Question 16

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

Accepted Answer

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

Question 17

Solve using Cramer's rule.
-$\begin{array} { l } 
5 x + 5 y = 10 \
5 x + y = - 10
\end{array}$

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Solve the problem.
-Anthony wanted to buy a particular kind of cheese. He checked in five different stores and found the following I per pound:
$\$ 6.75 , \$ 5.25 , \$ 6.45 , \$ 5.75$, and $\$ 5.65$.
What was the mean price per pound?

Accepted Answer

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

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

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

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

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

Use synthetic division to divide. - $\left( x ^ { 5 } - 243 \right) \div ( x - 3 )$

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

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?

Use synthetic division to divide. - $\left( 6 m ^ { 3 } + 10 m ^ { 2 } - 18 m + 18 \right) \div ( m + 3 )$

Evaluate. - $\left| \begin{array} { r r } 8 & - 9 \\ - 2 & 1 \end{array} \right|$

Evaluate. - $\left| \begin{array} { r r r } 7 & - 5 & 3 \\0 & 1 & 2 \\0 & 0 & - 9\end{array} \right|$

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

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?

Evaluate. - $\left| \begin{array} { r r r } 5 & - 4 & - 4 \\ 2 & - 3 & - 4 \\ - 2 & 4 & 3 \end{array} \right|$

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.

Use synthetic division to divide. - $\left( y ^ { 6 } + 3 \right) \div ( y - 1 )$

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

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

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

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

Solve the problem. -Anthony wanted to buy a particular kind of cheese. He checked in five different stores and found the following I per pound: $\$ 6.75 , \$ 5.25 , \$ 6.45 , \$ 5.75$ , and $\$ 5.65$ . What was the mean price per pound?

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Exam 13: Finding Measures of Central Tendency for Prices and Heights