Assessment - Week 2 worksheet PDF

Preview

Summary

Download Assessment - Week 2 worksheet PDF

Description

Data representation and analysis Student Book - Series J Contents Topics

Date completed

Topic 1 - Frequency distribution tables

__/__/__

Topic 2 - Frequency histograms and frequency polygons

__/__/__

Topic 3 - Cumulative frequency histograms and polygons

__/__/__

Topic 4 - Frequency histograms and polygons with grouped data

__/__/__

Topic 5 - Mean

__/__/__

Topic 6 - Mode

__/__/__

Topic 7 - Median

__/__/__

Topic 8 - Range

__/__/__

Practice Tests Topic 1 - Topic test A

__/__/__

Topic 2 - Topic test B

__/__/__

Author of The Topics and Topic Tests: AS Kalra

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

Data representation and analysis Topic 1: Frequency distribution tables QUESTION 1 a

6 8 4

Draw up a frequency distribution table for each set of data below.

10 8 8 6 7 8 7 9 7 7 9 7 6 5 7 8 10 9 10 8 10 Score (x)

QUESTION 2 a

b

Tally

Frequency (f)

9 8 6 8 11 10 8 7 9 11 12 11 8 7 8 8 12 11 Score (x)

8 8

Tally

Frequency (f)

Draw up a frequency distribution table for each set of data below.

10 12 14 14 12 14 16 18 16 18 14 16 14 12 10 14 16 10 12 14 18 14 16 10 12 Score (x)

Tally

b

Frequency (f)

5 6 8 9 4 2 4 6 7 8 6 7 5 6 8 9 6 7 6 5 3 2 4 8 Score (x)

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

Tally

5 Frequency (f)

1

Data representation and analysis Topic 2: Frequency histograms and frequency polygons QUESTION 1 For the set of scores given, 11

complete the frequency distribution table draw a frequency histogram draw a frequency polygon 5 9 8 7

10 6 11 9

8 7 9 8

5 9 9 10

4 10 8 8

Score (x)

7 4 9 9

7 7 10 8

Tally

10 10 11 9

10

7 8 9 9

5 6 7 8

Frequency (f)

9 8 Frequency (f)

a b c

7 6 5 4 3 2 1

4

5

6

7 8 Score (x)

9

10

11

QUESTION 2 From the following distribution table, draw a frequency histogram and frequency polygon. 8

9

10

11

12

13

14

15

Frequency

2

4

3

7

11

8

5

2

Frequency (f)

Score

Score (x)

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

2

Data representation and analysis Topic 3: Cumulative frequency histograms and polygons QUESTION 1 A class of 25 students sat for a test. The results are shown in the frequency table. a b

Complete the frequency distribution table. Draw a cumulative frequency histogram and polygon. Score

Frequency

5

1

6

2

7

3

8

6

9

5

10

4

11

3

12

1

Cumulative frequency

QUESTION 2 A class of 20 students obtained the following results in a class test. 8 12 a b

4 11

10 10

9 9

10 6

5 7

6 10

8 12

6 10

8 5

Complete the frequency distribution table. Draw a cumulative frequency histogram and polygon. Score (x)

Tally

Frequency (f)

Cumulative frequency

4 5 6 7 8 9 10 11 12

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

3

Data representation and analysis Topic 4: Frequency histograms and polygons with grouped data QUESTION 1 The percentage results of 50 students in a Mathematics exam are given below. 87 77 73 62 85

74 68 86 90 60

67 88 79 67 84

80 58 74 57 85

70 83 76 84 68

76 66 84 66 79

77 87 86 80 57

Class

Class centre (c.c.)

57–61

59

82 79 67 85 78

82 63 78 81 75 Tally

Construct a grouped frequency distribution table. Draw a grouped frequency histogram. Draw a grouped frequency polygon.

Cumulative frequency

Frequency (f)

d e

Draw a grouped cumulative frequency histogram. Draw a grouped cumulative frequency polygon.

13 12 11 10

Cumulative frequency

9 Frequency (f)

a b c

88 73 85 89 59

8 7 6 5 4 3 2 1 0 Maths exam mark (c.c.)

Maths exam mark (c.c.)

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

4

Data representation and analysis Topic 5: Mean QUESTION 1 Find the mean of each of the following sets of scores. a

d

b

10, 11, 12 _______________

c

6, 8, 12, 16 ______________

12, 13, 14, 15 ___________

________________________

________________________

_______________________

________________________

________________________

_______________________

e

11, 15, 19, 23 ____________

f

9, 11, 14, 16 _____________

17, 18, 21, 22, 24, 30 ______

________________________

________________________

________________________

________________________

________________________

________________________

QUESTION 2 Find the mean of each of the following sets of scores. a

d

b

5, 5, 7, 7, 7, 7, 9, 9, 9, 9

11,11,12,12,12,11,11,11,11

c

12,12,15,15,15,16,16,16,16

________________________

________________________

_______________________

________________________

________________________

_______________________

e

6, 6, 6, 6, 6, 7, 7, 8, 8, 9

f

8, 9, 10, 11, 10, 9, 8, 7

16,15,17,14,13,14,16,15

________________________

________________________

_______________________

________________________

________________________

_______________________

QUESTION 3 Find the mean of each of the following sets of scores. a

b

15, 15, 15, 18, 18, 20, 20, 20, 20 _____________ ________________________________________

c

7, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10, 10 ____________

10, 10, 12, 12, 12, 13, 14, 16 _______________ _______________________________________

d

________________________________________

8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11 ______ _______________________________________

QUESTION 4 Use a calculator to find the mean for each set of scores. a

b x

f

1

fx

c x

f

2

3

2

1

3

fx

x

f

3

7

4

4

2

8

1

3

5

4

9

3

4

4

6

2

10

2

5

5

7

1

11

6

6

5

8

3

12

5

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

fx

5

Data representation and analysis Topic 6: Mode QUESTION 1 What is the mode of the following sets of scores? a

3, 3, 4, 9, 10, 4, 3, 6, 3, 4 __________________

b

_______________________________________ c

5, 6, 7, 6, 6, 5, 5, 6, 6, 6, 4 _________________

_______________________________________ d

________________________________________ e

7, 8, 9, 10, 10, 10, 11, 6, 10, 7 _______________

9, 7, 8, 7, 9, 9, 10, 9, 11, 9 _________________ _______________________________________

f

________________________________________ g

8, 9, 7, 8, 10, 8, 5, 6, 8, 7, 8 ________________

4, 7, 5, 7, 5, 7, 4, 3, 7, 7, 7, 8 _______________ _______________________________________

h

6, 7, 9, 6, 5, 6, 7, 6 ________________________ ________________________________________

8, 5, 7, 7, 7, 8, 7, 7, 9, 6 ___________________ _______________________________________

QUESTION 2 Find the mode from each set of scores. a

b

9, 8, 10, 8, 11, 9, 8, 10, 8 __________________ _______________________________________

c

6, 7, 5, 8, 8, 6, 8, 8, 6, 5, 8, 8, 9 _____________

_______________________________________ d

________________________________________ e

f

11, 10, 11, 14, 11, 12, 11, 11 ________________ 37, 32, 33, 37, 38, 37, 37, 39, 37 _____________

7, 8, 10, 8, 7, 8, 7, 8, 8, 8, 9, 8, 8 ____________ _______________________________________

________________________________________ g

8, 7, 8, 9, 6, 5, 8, 8, 4, 8 ___________________

8, 9, 8, 7, 8, 6, 8, 8, 6, 8, 8 _________________ _______________________________________

h

________________________________________

9, 4, 5, 9, 7, 9, 7, 9, 6, 5, 9, 9, 4, 9 ___________ _______________________________________

QUESTION 3 Select the mode from each set of scores. a

b

7, 8, 8, 7, 9, 7, 10, 7, 7, 9 ___________________ ________________________________________

c

_______________________________________ d

6, 7, 8, 7, 6, 5, 7, 7, 8, 7 ____________________

________________________________________ e

3, 4, 5, 5, 6, 5, 6, 5, 7, 6, 5, 5, 5, 4, 5 _________

5, 6, 7, 7, 5, 5, 5, 6, 5, 9 ___________________ 7, 6, 9, 9, 6, 9, 8, 9, 10, 9, 9 ________________ _______________________________________

f

5, 6, 7, 5, 8, 5, 6, 5, 7, 5, 7, 5, 3, 5 ___________

________________________________________

_______________________________________

QUESTION 4 Find the mode from each set of scores. a

8, 9, 8, 8, 10, 8, 9, 8, 8, 8 ___________________

b

________________________________________ c

5, 4, 7, 7, 4, 7, 6, 7, 8, 7, 7 __________________

_______________________________________ d

________________________________________ e

7, 8, 9, 7, 10, 7, 8, 7, 8, 7, 9, 7, 5, 7 ___________

5, 6, 7, 6, 5, 4, 5, 5, 6, 5 ___________________ 4, 5, 6, 6, 7, 6, 7, 6, 8, 7, 6, 6, 6, 5, 6 _________ _______________________________________

f

________________________________________

6, 7, 6, 6, 8, 6, 7, 6, 6, 6 ___________________ _______________________________________

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

6

Data representation and analysis Topic 7: Median QUESTION 1 Find the median of the following sets of scores. a

b

9, 9, 11, 12, 16 ___________________________

d

10, 11, 12, 14, 16 ________________________

f

15, 15, 17, 18, 20 ________________________

4, 5, 6, 6, 8 _____________________________ ________________________________________

c

_______________________________________

4, 7, 7, 8, 8, 8, 9 __________________________ ________________________________________

e

_______________________________________

3, 4, 5, 6, 7 ______________________________ ________________________________________

_______________________________________

QUESTION 2 What is the median of each set of scores? a

b

5, 6, 7, 9, 7 ______________________________

15, 18, 22, 15, 17, 16, 15 __________________

________________________________________ c

_______________________________________ d

5, 8, 9, 8, 9, 10, 9 _________________________

7, 11, 13, 9, 8 ___________________________

________________________________________ e

_______________________________________ f

6, 4, 7, 5, 8 ______________________________

15, 17, 14, 12, 12 ________________________

________________________________________

_______________________________________

QUESTION 3 Find the median of the following sets of scores. a

b

10, 11, 12, 13, 14 _________________________

47, 57, 37, 27, 57, 77, 67 __________________

________________________________________ c

12, 14, 7, 11, 8, 13, 9, 10, 14 ________________

_______________________________________ d

9, 12, 7, 4, 3, 4, 9, 8, 6, 5, 12 _______________

________________________________________ e

11, 3, 8, 5, 4, 7, 9, 10, 6, 9, 11 _______________

_______________________________________ f

5, 10, 3, 8, 11, 8, 6, 9, 10, 11, 11 ____________

________________________________________

_______________________________________

QUESTION 4 Find the median of the following sets of scores. a

24, 27, 19, 20, 23, 24, 27 ___________________

b

________________________________________ c

8, 11, 16, 13, 12, 13, 16, 11, 8, 7, 8 ___________

_______________________________________ d

________________________________________ e

7, 11, 13, 9, 8, 9, 8, 7, 11 ___________________ 6, 9, 7, 12, 25, 6, 9 ________________________

f

9, 11, 13, 14, 15, 6 ________________________

16, 12, 18, 15, 13, 14, 13 __________________ _______________________________________

h

________________________________________ i

6, 12, 5, 9, 12, 9, 7, 10, 11, 12, 12 ___________ _______________________________________

________________________________________ g

10, 9, 8, 10, 7, 15, 11, 11, 5 ________________

11, 15, 18, 16, 15 ________________________ _______________________________________

j

________________________________________

9, 8, 7, 9, 6, 14, 12, 12, 6 __________________ _______________________________________

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

7

Data representation and analysis Topic 8: Range QUESTION 1 Find the range of the following sets of scores. a

11, 5, 4, 7, 8, 10, 3 _______________________

b

_______________________________________ c

7, 10, 5, 6, 4, 15 __________________________

_______________________________________ d

________________________________________ e

9, 11, 11, 8, 13, 15, 17 _____________________ 12, 9, 14, 24, 3, 25 ________________________

16, 13, 9, 8, 11, 9, 10 _____________________ _______________________________________

f

________________________________________ g

2, 7, 10, 4, 8, 0, 2, 7, 14 ___________________

11, 8, 9, 16, 21, 8, 7 ______________________ _______________________________________

h

________________________________________

22, 24, 30, 22, 20, 6 ______________________ _______________________________________

QUESTION 2 Find the range of each set of scores. a

7, 9, 6, 5, 11, 24, 7, 10 ____________________

b

_______________________________________ c

7, 12, 13, 14, 73, 9, 10, 9 ___________________

_______________________________________ d

________________________________________ e

5, 12, 7, 5, 18, 21, 27, 39 ___________________ 12, 14, 32, 47, 92, 38 ______________________

2, 15, 7, 39, 10, 48 _______________________ _______________________________________

f

________________________________________ g

0, 2, 3, 4, 5, 8, 21, 2, 0, 6 __________________

6, 8, 11, 21, 23, 59, 36 ____________________ _______________________________________

h

________________________________________

6, 12, 14, 27, 48, 54, 69 ___________________ _______________________________________

QUESTION 3 Find the range of the following sets of scores. a

16, 28, 29, 30, 51, 2, 19 ____________________

b

________________________________________ c

2, 9, 12, 6, 18, 8, 63, 49 ____________________

_______________________________________ d

________________________________________ e

48, 38, 49, 14, 14, 53 ______________________

3, 8, 0, 5, 9, 22, 31, 64 ____________________ 8, 13, 7, 5, 13, 18, 32, 54 __________________ _______________________________________

f

________________________________________

8, 24, 31, 29, 39, 32, 35 ___________________ _______________________________________

QUESTION 4 Find the range of each set of scores. a

7, 12, 10, 32, 26 __________________________

b

________________________________________ c

9, 12, 8, 15, 43, 79, 25 _____________________

_______________________________________ d

________________________________________ e

20, 8, 13, 10, 12, 8, 7, 30, 47 ________________

10, 14, 15, 8, 20, 34, 66 ___________________ 15, 17, 19, 22, 29, 14, 20, 21, 23 ____________ _______________________________________

f

________________________________________

4, 2, 9, 18, 9, 65, 32 ______________________ _______________________________________

Data representation and analysis Mathletics Instant Workbooks – Series J

Copyright © 3P Learning

8

Data representation and analysis Topic Test

PART A

Time allowed: 15 minutes

Total marks = 15 Marks

Questions 1–4 refer to the scores 2, 3, 3, 3, 3, 3, 5, 5, 5, 8. 1 The mode is A 2 B 3 C 5

2 3 4

s

s

The mean is A 2

s

B s

The median is A 2

4

D s

s