Free Printable Unit 1 - 3 Looping Assignment

1.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

2.

A data set can have more than one mode

a)

True

b)

False

3.

Find the mean of this data set:

2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

4.

Find the median of this data set:

4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

5.

Find the mode of this data set:

67, 74, 95, 98, 98, 99, 102

a)

90.4

b)

35

c)

92

d)

98

6.

The temperature in Michigan City on this date in the last ten years were: 68, 68, 69, 70, 72, 70, 68, 75, 55, 67. What is the mean temperature on this date over the last ten years? (Round to nearest whole number.)

a)

60

b)

61

c)

68

d)

69

7.

What is the standard deviation for the data given:

{5, 10, 7, 12, 0, 20, 15, 22, 8, 2}

a)

6.89

b)

10.1

c)

7.26

d)

9

8.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

9.

Find the interquartile range using the following.
Minimum: 1
Q1: 3
Median: 5
Q3: 7
Maximum: 9

a)

8

b)

4

c)

5

d)

10

10.

Find the IQR (interquartile range) using the following information.
Minimum: 77
Q1: 79.5
Median: 86.5
Q3: 90.5
Maximum: 99

a)

86.5

b)

22

c)

90.5

d)

11

11.

What is the median?

a)

62

b)

58

c)

66

d)

60

12.

What is the minimum value?

a)

64

b)

58

c)

66

d)

61

13.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

14.

What is the value of the lower quartile (Q1)?

a)

3

b)

8

c)

10

d)

15

15.

What is the median?

a)

3

b)

8

c)

10

d)

15

16.

Find the Maximum

a)

68

b)

98

c)

85

d)

93

17.

Which best represents the Interquartile Range

a)

15

b)

93

c)

85

d)

78

18.

What do you do if there are two numbers in "the middle" when you are finding the median?

a)

Pick your favorite number

b)

Add the two numbers in the middle & then divide by two.

c)

They are both the median

d)

None of the above

19.

2. Which of the following best describes the process of finding the interquartile range for a set of data?

a)

Add the biggest and smallest numbers.

b)

Place the numbers in order from least to greatest and find the middle.

c)

Find the difference between the maximum and the minimum.

d)

Subtract Q1 from Q3.

20.

Which box and whisker plot has the smallest lower quartile (Q1)?

a)

Top plot

b)

Bottom plot

21.

Which city has a higher median?

a)

Millersburg

b)

Arcadia

22.

Which best represents the Interquartile Range

a)

15

b)

93

c)

85

d)

78

23.

Which class has the highest test score?

a)

1st Period

b)

2nd Period

24.

What is the interquartile range (IQR) of the data set?

a)

20

b)

25

c)

5

d)

10

25.

What does point C on the box plot represent?

a)

Lower Quartile (Quartile 1)

b)

Median

c)

Upper Quartile (Quartile 3)

d)

Mean

26.

What do points A and E represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Values (minimum and maximum)

d)

Lower and Upper Quartiles

27.

What is the range of this data set?

a)

6

b)

12

c)

13

d)

19

28.

What was the maximum (greatest value) amount someone spent on groceries?

a)

40

b)

60

c)

140

d)

150

29.

Located at the center of a normal distribution is the ________ and it is represented by the symbol, ___.

a)

mean, μ

b)

standard deviation, μ

c)

standard deivation, σ

d)

mean, σ

30.

500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.

What ACT score is 3 standard deviations below the mean?

a)

12

b)

16

c)

20

d)

21

31.

What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

a)

+0.2

b)

+2.0

c)

-2.0

d)

-0.2

32.

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the SD was 275?

a)

-1.90

b)

-1.09

c)

+1.09

d)

+1.90

33.

Convert 6^(x+2)=216 to logarithmic form

a)

log₂₁₆(x+2)=6

b)

log₆(x+2)=216

c)

log₆(216)=x+2

d)

log_(x+2)(216)=6

34.

Convert log₈(x+2)=3 to exponential form.

a)

8^(x+2)=3

b)

3^(x+2)=8

c)

8³=x+2

d)

3⁸=x+2

35.

Convert 10^(x+5)=100 to logarithmic form.

a)

log₁₀₀=x+5

b)

log(x+5)=100

c)

log(100)=x+5

d)

log_(x+5)(100)=10

36.

Convert log(x)=y+2 to exponential form.

a)

10^(y+2)=x

b)

1^x=y+2

c)

10^x=y+2

d)

x^(y+2)=10

37.

Convert log₁₂(x)=2 to exponential form.

a)

12²=x

b)

12^x=2

c)

x²=12

d)

2^x=12

38.

Convert to exponential form. $\log_4\left(4\right)=x$

a)

$\log_x(4)=4$

b)

$x^4=4$

c)

$4^x=4$

d)

$\log_4(x)=4$

39.

Convert to exponential form. $\log_x(y)=z$

a)

$x^z=y$

b)

$z^x=y$

c)

$y^z=x$

d)

$z^y=x$

40.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

41.

3^{2x – 6} = 81

Convert to log

a)

$\log_{81}\left(3\right)=2x-6$

b)

$\log_3\left(81\right)=2x-6$

c)

$\log_3\left(2x-6\right)=81$

d)

$81^{2x}-6=3$

42.

Convert to exponential

a)

$e^{3.1}=x$

b)

$3.1^e=x$

c)

$e^{3.1}=\ln$

d)

$\ln^{3.1}=x$

43.

Logarithms and Exponentials are:

a)

complementary functions

b)

opposite functions

c)

reflexive functions

d)

inverse functions

44.

Convert to Logarithmic Form

$u^{-14}=v$

a)

$\log_u\left(-14\right)=v$

b)

$\log_uv=\frac{1}{14}$

c)

$\frac{1}{\log_uv}=14$

d)

$\log_uv=-14$

45.

Convert to Logarithmic Form

$9^{-2}=\frac{1}{81}$

a)

$\log_9\left(\frac{1}{81}\right)=-2$

b)

$\log_9\left(\frac{1}{81}\right)=\frac{1}{2}$

c)

$\log_9\left(\frac{1}{2}\right)=\frac{1}{81}$

d)

Cannot be evaluated

46.

Example: Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

Is this problem describing exponential growth or decay?

a)

Growth

b)

Decay

47.

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

We now know that our r value is .05. What is our a value? (a is the starting value)

(a)

48.

A car bought for $13,000 depreciates at 12% annually. We have modeled this situation with the equation y=13000(0.88)^x.

What does x (input) represent?

a)

time in years

b)

car's value in dollars

49.

$y=3\left(1.5\right)^x$

a)

Growth

b)

Decay

c)

Neither

50.

$y=100\left(5\right)^x$

a)

Growth

b)

Decay

c)

Neither

51.

$y=\frac{1}{3}^x$

a)

Growth

b)

Decay

c)

Neither

52.

What is shown in this graph?

a)

Growth

b)

Decay

c)

Neither

53.

Select an expression equivalent to

x²⁄ ³⋅x¹⁄ ³

a)

2x

b)

x²⁄₉

c)

x

d)

x²

54.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

55.

Select an expression equivalent to

x²⁄ ³⋅x¹⁄ ³

a)

2x

b)

x²⁄₉

c)

x

d)

x²

56.

Select an expression equivalent to

x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴

a)

-x¹∕ ⁶

b)

x ³∕ ⁴

c)

1∕ x³⁄⁴

d)

x¹∕ ⁸

57.

Select an expression equivalent to:

(x^2/3)⁴

a)

∛x⁸

b)

x^8/12

c)

x⁸

d)

x³

58.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

59.

∛k⋅∜k can be rewritten as:

a)

k^7/12

b)

k^1/12

c)

k^1/7

d)

∜k³

60.

Write in exponential form
∜(3x)³

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

c)

(3x)⁴⁄ ³

d)

3x⁴⁄ ³

61.

Write in exponential form
√x⁵

a)

X¹∕ ⁵

b)

X ²⁄⁵

c)

X⁵⁄ ²

d)

X⁵

62.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

63.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

64.

$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$

a)

$x^{\frac{4}{3}}y^{\frac{5}{2}}$

b)

$x^{\frac{2}{3}}y^{\frac{1}{2}}$

c)

$x^{\frac{1}{3}}y^{\frac{3}{2}}$

d)

$x^{\frac{2}{3}}y^{\frac{4}{3}}$

65.

What is

"n" called?

a)

Radical

b)

Radicand

c)

Index

d)

Root Symbol

66.

What is

a^m

called?

a)

Radical

b)

Radicand

c)

Index

d)

Root Symbol

67.

Simplify the expression:
10^1/2 * 10^1/2

a)

10

b)

100

c)

10,000

d)

3.56

68.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

Unit 1 - 3 Looping Assignment

Total questions: 68

Worksheet time: 6hrs 19mins

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