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Worksheets

Averages and range

Total questions: 106

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
Calculate the mean of: 13, 22, 5, 22, 6
a)
13.6
b)
68
c)
14
d)
13
2.
Calculate the mean of: 13, 22, 5, 22, 6
a)
13.6
b)
68
c)
14
d)
13
3.
Calculate the median of: 5, 7, 4, 10, 4
a)
4
b)
5
c)
7
d)
10
4.
Calculate the mode of:
5, 7, 11, 12, 3, 7, 9, 8, 9, 7
a)
9
b)
8
c)
7
d)
11
5.
Calculate the range of: 6, 2, 4, 18, 21, 18
a)
12
b)
17
c)
19
d)
15
6.
Calculate the mean of:
5, 7, 11, 12, 3, 7, 9, 8, 9, 7
a)
78
b)
7.8
c)
8
d)
9
7.
Calculate the median of:
5, 7, 11, 12, 3, 7, 9, 8, 9, 7
a)
7.5
b)
7
c)
8
d)
5
8.
Calculate the median of:
6, 3, 7, 4, 5, 2, 7, 11, 18, 12
a)
3.5
b)
7
c)
6
d)
6.5
9.
Calculate the range of: 
6, 3, 7, 4, 5, 2, 7, 11, 18, 12
a)
15
b)
16
c)
14
d)
13
10.
Calculate the mean of:
16, 23, 11, 41, 37, 15, 37, 20
a)
200
b)
25
c)
24
d)
26
11.
Calculate the median of:
16, 23, 11, 41, 37, 15, 37, 20
a)
21
b)
22
c)
21.5
d)
20
12.

Find the mean from the following data...


1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

13.

Find the median from the following data...


1, 8, 3, 2, 8, 8

a)

8

b)

5.5

c)

6

d)

6.5

14.

Find the mode from the following data...


1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

15.

Find the range from the following data...


1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

16.

Find the mean from the following data...


5, 3, 6, 5, 3, 9, 4

a)

8

b)

5

c)

6

d)

7

17.

Find the median from the following data...


5, 3, 6, 5, 3, 9, 4

a)

8

b)

5

c)

6

d)

7

18.

Find the mode from the following data...


5, 3, 6, 5, 3, 9, 4

a)

3

b)

5

c)

3 and 5

d)

6

19.

Find the range from the following data...


5, 3, 6, 5, 3, 9, 4

a)

3

b)

5

c)

4

d)

6

20.

Find the mean from the following data...


2, 11, 7, 6, 9, 1

a)

8

b)

5

c)

6

d)

7

21.

Find the median from the following data...


2, 11, 7, 6, 9, 1

a)

6.5

b)

7.5

c)

6

d)

7

22.

Find the mode from the following data...


2, 11, 7, 6, 9, 1

a)

6 and 7

b)

no mode

c)

6

d)

7

23.

Find the range from the following data...


2, 11, 7, 6, 9, 1

a)

8

b)

9

c)

11

d)

10

24.

Find the mean of:

13, 24, 10, 6, 19, 18, 11, 9, 13, 17

a)

140

b)

16

c)

17.3

d)

14

25.

On the semester final, Devin scored a 12, Levi scored a 15, and Espy scored a 18. What was the average score for these students?

a)

15

b)

273

c)

111

26.

Jeff has four grades from tests and IXL. They are all weighted equally. If Jeff's grades are 100, 96, 96, and 100, what Jeff's current average grade?

a)

96

b)

97

c)

98

d)

100

27.
How many mountain bikes were sold?
a)
22
b)
28
c)
16
d)
6
28.
How many more people have purple for a favourite colour than red?
a)
3
b)
5
c)
7
d)
9
29.

On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99.What was the average score for these students?

a)

91

b)

273

30.
To find the average of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
31.
What is the definition of the mean?
a)
The average
b)
The middle number
c)
The difference between the highest and lowest numbers
d)
The number that occurs the most
32.
Mary read six books in January, four books in February, and eight books in March.What was the average number of books read each month? __________
a)
18
b)
6
c)
14
33.
The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?
a)
210
b)
207
c)
220
d)
200
34.

How many people said Drama was their favourite type of film?

a)

0

b)

2

c)

1

d)

7

35.

How many more people said Action than Supernatural as their favourite type of film?

a)

2

b)

5

c)

8

d)

10

36.

The table shows the distances Jim jogged on 5 days.

On average, he jog (a)   each day.

37.

Maria bought 18 rolls of ribbon. The average length of each of roll of ribbon is 2 meters. The total length of all the rolls of ribbon is (a)   .

38.

Mr. Logan has twice as much money as Mr. Brian. If the average amount of money they have is $600, then Mr. Logan has (a)   .

39.

The difference between the lowest and highest values is ....

a)

average

b)

range

c)

mode

d)

median

40.

The numerical average of the data set is called ....

a)

mode

b)

median

c)

range

d)

mean

41.

The number that is in the middle of a set of data is a definition of ....

a)

mean

b)

mode

c)

average

d)

median

42.

The median of this data is ....

a)

31

b)

38

c)

68

d)

85

43.

The mean of this data is ....

a)

25

b)

26

c)

27

d)

28

44.

What is the highest mass in a set of masses that has range of 28 g, the smallest mass is 102 g.

a)

130g

b)

74g

c)

84g

d)

28g

45.

The mode of this data is ....

a)

21

b)

18

c)

19

d)

24

46.

The range of this temperature data is ....

a)

5

b)

10

c)

-10

d)

5

47.

The mean age of five children in a family is 12 years. The total age of the children is ....

a)

12

b)

24

c)

36

d)

60

48.

These are the heights (in metres) of six members of

a swimming club. The median height of these data is ....

a)

1.55

b)

1.6

c)

1.65

d)

1.7

49.

A group of 25 children were asked how many sisters they had. The frequency table shows the results. From the table, four children have no sisters. How many children have more than two sisters?

a)

2

b)

4

c)

1

d)

7

50.

Shina recorded the number of hours of sunshine for eight days. What is the mean of the data that Shina collected ?

a)

6

b)

8

c)

5

d)

2

51.

Alexa recorded the numbers of points scored by his favourite basketball team in six matches. Find the mean number of points per match.

a)

50

b)

52.5

c)

55

d)

60

52.

Complete this sentence: The team scored more than three goals in .... matches.

a)

2

b)

5

c)

7

d)

10

53.

The mode of these data is ....

a)

495

b)

490

c)

500

d)

505

54.

Which of these represents the sum of all values divided by the total number of values?

a)

Mean

b)

Mode

c)

Median

d)

Range

55.

Which of these represent the most common value of a set of data?

a)

Mean

b)

Mode

c)

Median

d)

Range

56.

The number of pages that Mia wrote in her journal each day from Monday to Friday is shown below:

9, 8, 12, 11, 20

What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

12

57.

Find the median from the following data...


5, 3, 6, 5, 3, 9, 4

a)

8

b)

5

c)

6

d)

7

58.
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
59.
Find the mean of the following cell phone usage per month: 445, 516, 618, 575, 288
a)
488.4
b)
484
c)
488
d)
487.5
60.

Find the median from the following data...


1, 8, 3, 2, 8, 8

a)

8

b)

5.5

c)

6

d)

6.5

61.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
62.

The median of these numbers is 5, what is the missing number?

3, 12, 1, ?

a)

5

b)

7

c)

16

d)

6.5

63.

4 numbers have a mean of 6. What is the missing number

4 5 ? 9

a)

7

b)

24

c)

18

d)

6

64.

The range of 6 numbers is 20


13, 20, 4, 14, ?, ?


Which of these can NOT be the missing numbers

a)

5 and 24

b)

25 and 5

c)

2 and 22

d)

6 and 24

65.

Find the mode

a)

7

b)

5

c)

8

d)

6

66.

Find the median age

a)

7

b)

6.5

c)

6

d)

7.5

67.

Find the mean age. You may want to write out the table with an extra column.

a)

2.6

b)

6.5

c)

5.7

d)

5.5

68.
Find the mean of 
3,4,5,6,7
a)
4
b)
5
c)
6
d)
7
69.
Find the mean of 
5, 4, 1, 8, 4, 2
a)
4
b)
5
c)
6
d)
7
70.
Find the mean of 
11, 5, 2
a)
4
b)
5
c)
6
d)
7
71.
Find the mean of 
11, 5, 2
a)
4
b)
5
c)
6
d)
7
72.
Find the range of 
10, 3, 7, 8, 9, 4, 2
a)
8
b)
9
c)
10
d)
11
73.
Find the range of 
45, 38, 47, 42, 40, 47
a)
8
b)
9
c)
10
d)
11
74.
Find the range of 
126, 118, 119, 117, 126, 127, 118, 124
a)
8
b)
9
c)
10
d)
11
75.
Find the mode of 
1, 4, 7, 8, 8, 10, 14
a)
7
b)
8
c)
9
d)
10
76.
Find the mode of 
9, 8, 7, 8, 9, 7, 9, 8, 9
a)
7
b)
8
c)
9
d)
10
77.
Find the median of
4, 9, 8, 7, 10
a)
7
b)
7.5
c)
8
d)
8.5
78.
Find the median of
4, 9, 8, 3, 7, 10
a)
7
b)
7.5
c)
8
d)
8.5
79.
Find the median of
4, 11, 9, 8, 7, 10
a)
7
b)
7.5
c)
8
d)
8.5
80.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
81.
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
82.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
83.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
84.

Find the Mode of:

3, 1, 6, 2, 2

a)

2

b)

3

c)

4

d)

5

85.
Find the Range of:
3 1 6 2 2 
a)
3
b)
4
c)
5
d)
6
86.

Find the Median of:

3, 1, 6, 2, 2

a)

1

b)

2

c)

3.5

d)

5

87.

Find the Mode of:

4, 7, 8, 3, 6, 8, 4

a)

4

b)

8

c)

No mode

d)

4 and 8

88.

the set of all possible y-values

a)

Domain

b)

Range

c)

Interval Notation

d)

Inequality Notation

89.

the set of all possible x-values

a)

Domain

b)

Range

c)

Interval Notation

d)

Inequality Notation

90.

When identifying domain and range what symbol(s) is used when the value is not included?

a)

( )

b)

[ ]

c)

≤ ≥

d)

{ }

91.

What is the range in inequality notation?

a)

( -4 , 4 )

b)

[ 1 , -3 )

c)

-4 < x < 4

d)

1 ≥ y > -3

92.

What is the domain in inequality notation?

a)

( -4 , 4 )

b)

[ 1 , -3 )

c)

-4 < x < 4

d)

1 ≥ y > -3

93.

What is the range in inequality notation?

a)

[ -2 , 2 )

b)

( 5 , 1 ]

c)

-2 ≤ x < 2

d)

5 > y ≥ 1

94.

What is the domain in inequality notation?

a)

[ -2 , 2 )

b)

( 5 , 1 ]

c)

-2 ≤ x < 2

d)

5 > y ≥ 1

95.

What is the range in inequality notation?

a)

( -5 , 5 )

b)

[-2 , -4 )

c)

-5 < x < 5

d)

-2 ≥ y > -4

96.

What is the domain in inequality notation?

a)

( -5 , 5 )

b)

[-2 , -4 )

c)

-5 < x < 5

d)

-2 ≥ y > -4

97.

What is the range in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4 ≥ y ≥ -4

98.

What is the domain in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4 ≥ y ≥ -4

99.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

100.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
101.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
102.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
103.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
104.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
105.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
106.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}