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Total questions: 96

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
What is the mean number of pages she wrote per day?

9, 8, 12, 6, 10

a)
5
b)
6
c)
9
d)
11
2.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.

What is the range of Roger's scores?

a)
193
b)
127
c)
60
d)
66
3.

Find the mode:

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

a)

90.4

b)

35

c)

92

d)

98

4.

TRUE OR FALSE - You have to put the values in order from small to large in order to find the median.

a)

true

b)

false

5.

Look at these numbers - 11, 11, 7, 18, 8. What is the correct way to put them in order so you can find the median?

a)

18, 11, 11, 8, 7

b)

11, 7, 8, 18, 11

c)

8, 7, 11, 11, 18

d)

7, 8, 11, 11, 18

6.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
7.

What is the range of this data set?


7, 1, 6, 9, 4, 6, 2

a)

8

b)

7

c)

6

d)

5

8.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

9.

Calculate the mean:

99, 87, 84, 91, 97, 86, 83, 90, 93

a)

101.2

b)

90

c)

81

d)

73.6

10.

Find the median of these numbers:
4, 2, 7, 4, 3

a)
2
b)
5
c)
7
d)
4
11.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
12.

What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7

a)
7
b)
20
c)
7 & 14
d)
none of the above
13.

What shape is another name for a normal distribution?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

14.

According to the normal distribution, what percentage of data falls within 1 standard deviation?

a)

25%

b)

68%

c)

95%

d)

99.7%

15.

Using a calculator find what is the standard deviation for the data given:

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

.

16.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21} Choose the answer closest to the one you got.

17.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
18.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
19.

What is the shape of the data?

a)

symmetrical

b)

negatively skewed

c)

positively skewed

d)

bell curve

20.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

21.

What is the shape of the distribution?

a)

Negatively Skewed

b)

Positively Skewed

c)

Symmetric

d)

Bimodal

22.
Describe the histogram:
a)

Negatively Skewed

b)

Symmetrical

c)

Positively Skewed

d)

Uniform

23.
How would you describe this distribution?
a)
Left skewed
b)
Uniform
c)
Right Skewed
d)
Symmetrical
24.

What is the shape of the distribution?

a)

Positively Skewed

b)

Negatively Skewed

c)

Symmetric

d)

Unimodal

25.

This data is

a)

symmetrical

b)

positively skewed

c)

negatively skewed

26.

Between what two standard deviations of a normal distribution contain 68% of the data?

Do a sketch of thebell curve and identify the mean and 1 standard deviation either side

a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
27.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents? Hint: draw a bell curve and identify 1 standard deviation from mean

a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
28.

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

a)

Mean = 57

S.D. = 6.5

b)

Mean = 57

S.D. = 7

c)

Mean = 57.5

S.D. = 6.5

d)

Mean = 57.5

S.D. = 13

29.

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m for each deviation point from the mean


In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

a)

24

b)

54

c)

97

d)

100

30.

95% of students at school weigh between 62 kg and 90 kg.

Assuming this data is normally distributed, what are the mean and standard deviation?

Hint; how many standard deviations each side of mean is 95%

a)

Mean = 66 kg

S.D. = 7 kg

b)

Mean = 76 kg

S.D. = 7 kg

c)

Mean = 86 kg

S.D. = 7 kg

d)

Mean = 76 kg

S.D. = 14 kg

31-38.

Answer the questions below after watching the video

31.

What is a histogram primarily used for?

a)

To calculate mathematical functions

b)

To write data in tabular form

c)

To represent frequency of data visually

d)

To solve algebraic equations

32.

What type of data could be collected to create a histogram?

a)

Favorite colors of students

b)

All of the above

c)

Height of students

d)

Number of books read

33.

On a histogram, what does the x-axis represent?

a)

Frequency of data points

b)

Total number of observations

c)

Range of values

d)

Average value of data

34.

Why do the bars in a histogram touch each other?

a)

To indicate continuous data ranges

b)

Due to a lack of space

c)

None of the above

d)

To make the graph look fuller

35.

What does the height of a bar in a histogram represent?

a)

Total number of data points

b)

Range of data

c)

Frequency of the data within a range

d)

Average value of the data

36.

Which range had the highest frequency of students completing push-ups?

a)

30-39

b)

20-29

c)

0-9

d)

10-19

37.

What can be inferred about the difficulty of doing 40-49 push-ups?

a)

None attempted this range

b)

It was the hardest range

c)

Many students achieved this

d)

It was the easiest range

38.

How does a histogram help in understanding data?

a)

By calculating data averages

b)

By predicting future outcomes

c)

By showing patterns and trends visually

d)

By listing data in order

39.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
40.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
41.

Estimate how many people have a height greater than 165cm?

a)

14

b)

8

c)

10

d)

12

42.

How many people have a height between 130cm and 155cm?

a)

16

b)

28

c)

44

d)

45

43.

1) A camera costs £180 in a 10% sale. What was the pre-sale price?

The price has been reduced by 10%

£180= 90%

What was the full (100%) price

a)

£200

b)

£18

c)

£198

d)

£162

44.

2) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase?

1654 include 100% of original price + 15% increase

Hint: get 1% of full price first

a)

£1438.26

b)

£1945.88

c)

£248.10

d)

£1500

45.

3) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price?

a)

£648

b)

£450

c)

£675

d)

£432.80

46.

4) The world’s tiger population has decreased by 95% since 1910 and is now believed to be as low as 3200. If these figures are correct, what was the tiger population in 1910?

a)

3040

b)

160

c)

3386

d)

64000

47.

5) The sale price of a television is £420 after a 15% reduction. What was the price before the sale?

(Find what % of original price £420 is first : 100-15)

a)

£63

b)

£2800

c)

£494

d)

£365

48.

6) After a 6.5% pay rise an engineer’s salary is £36,700. What was the salary before the increase?

What is total percent …. What is 1%…. What is 100%…)

a)

£34460.09

b)

£2385.50

c)

£34314.50

d)

£39251.34

49.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
50.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
51.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
52.
Write the equation of the circle.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
53.
Name a radius.
a)
DE
b)
GA
c)
CB
d)
AB
54.
Name a Diameter.
a)
DE
b)
GA
c)
CB
d)
AB
55.
Name a Tangent.
a)
DE
b)
GA
c)
CB
d)
AB
56.
Name a Secant.
a)
DE
b)
GA
c)
CB
d)
AB
57.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

58.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

59.

Which shows the correct order of angles from least to greatest?

a)

∠P, ∠Q, ∠R\angle P,\ \angle Q,\ \angle R

b)

∠R, ∠P, ∠Q\angle R,\ \angle P,\ \angle Q

c)

∠Q, ∠R, ∠P\angle Q,\ \angle R,\ \angle P

d)

∠Q, ∠P, ∠R\angle Q,\ \angle P,\ \angle R

60.

Name the circle part shown

a)

Arc

b)

Sector

c)

Chord

d)

Radius

61.
What is P?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
62.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
63.
a)

46.2 ft2

b)

92.4 ft2

c)

46.2 ft

d)

92.4 ft

64.

What is the Area of the shape

(a)   units2

65.

Using the formula from your tables book find the area ofthe triangle? (Round to the nearest tenth)

a)

7

b)

7.5

c)

15

d)

about 3.9

66.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
67.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
68.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
69.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
70.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
71.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

72.

Solve for x. Round to the nearest tenth.

a)

46.1

b)

4.9

c)

73.5

d)

68.6

73.

Find the measure of the indicated angle using inverse trigonometry.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

74.
What information has been given here?
a)
SSS
b)
SAS
c)
AAS
d)
SSA
75.
What information has been given here?
a)
SSS
b)
SAS
c)
AAS
d)
SSA
76.
What rule should you use?
a)
Sine
b)
Cosine
77.
What rule should you use?
a)
Sine
b)
Cosine
78.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
79.
When using the sine rule how many parts (fractions) do you need to equate?
a)
All 3 parts
b)
1 part
c)
2 parts
80.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
81.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
82.

Find the missing side x

a)

2.36cm

b)

9.21cm

c)

3.16cm

d)

4.51cm

83.

Find the missing angle θ

a)

68o

b)

133o

c)

116o

d)

121o

84.

Find the missing angle θ

a)

27.9o

b)

29.2o

c)

26.8o

d)

45o

85.
What rule should you use?
a)
Sine
b)
Cosine
86.
What rule should you use?
a)
Sine
b)
Cosine
87.
What rule should you use?
a)
Sine
b)
Cosine
88.
a)
10.1
b)
10.0
c)
10.9
d)
8.86
89.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
90.
a)

6.3

b)

7.3

c)

11.8

d)

7.2

91.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

92.

Find the missing side x

a)

60.5mm

b)

10.3mm

c)

30.1mm

d)

58.1mm

93.

Find the missing side x

a)

6.39cm

b)

12.7cm

c)

7.31cm

d)

8.13cm

94.

Find the missing angle θ

a)

68o

b)

133o

c)

116o

d)

121o

95.

A research team surveys 1001 adults, asking them how many hours they work per week. What is the margin of error for this survey?

a)

3%

b)

32%

c)

63%

d)

9%

96.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
97.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
98.

Why is a sample of 1000 people better than a sample of 100 people?

a)

It reduces the margin of error.

b)

Having more people creates more work.

c)

More people means that our results are always correct.

99.

A statement made about a population for testing purpose is called?

a)

Statistic

b)

Hypothesis

c)

Level of Significance

d)

Test-Statistic

100.

If the assumed hypothesis is tested for rejection considering it to be true is called?

a)

Null Hypothesis

b)

Statistical Hypothesis

c)

Simple Hypothesis

d)

Composite Hypothesis

101.

A research team surveys 1001 adults, asking them how many hours they work per week. What is the margin of error for this survey?

a)

3%

b)

32%

c)

63%

d)

9%

102.

Identify the margin of error from the confidence interval shown below.

45±1045\pm10

a)

10

b)

35

c)

45

d)

55

103.
A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
a)
We are 95% confident that the true mean calorie content can be found with a sample of 150 to 350 cupcakes.
b)
We are 95% confident that the true mean calorie content in cupcakes is between 150 and 350 calories.
c)
We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
d)
None of these are correct.

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