1. Statistics Average (Mean), Range Frequency Tables Line Graphs
Pie Charts
Constructing Pie Charts
16-Sep-18
Created by Mr. Lafferty

2. Lesson Starter www.mathsrevision.com
Level 2
Q1. Write down the highest and lowest
number in this set of numbers.
52, 55, 62, 51, 59, 62, 52, 59, 61, 55
Q2. Add
Q3. Find x to make this expression true.
16-Sep-18
Created by Mr. Lafferty

3. Aims of the lesson www.mathsrevision.com
Level 2
1. We are learning the meaning of the keywords
Mean and Range
Calculate the mean and range for given data.
16-Sep-18
Created by Mr. Lafferty

4. Finding the range
The range of a set of data is a measure of how the data is spread across the distribution.
To find the range we subtract the lowest value in the set from the highest value.
Range = highest value – lowest value
When the range is small; the values are similar in size.
When the range is large; the values vary widely in size.
16-Sep-18
Created by Mr. Lafferty

5. The range Here are the high jump scores for two girls in metres.
Joanna
1.62
1.41
1.35
1.20
1.15
Kirsty
1.59
1.45
1.30
Find the range for each girl’s results and use this to find out who is consistently better.
Joanna’s range = 1.62 – 1.15 = 0.47
Kirsty’s range = 1.59 – 1.30 = 0.29
16-Sep-18
Created by Mr. Lafferty

6. The mean The mean is the most commonly used average.
To calculate the mean of a set of values we add together the values and divide by the total number of values.
Mean =
Sum of values
Number of values
For example, the mean of 3, 6, 7, 9 and 9 is
16-Sep-18
Created by Mr. Lafferty

7. Two dice were thrown 10 times and their scores were added together and recorded. Find the range and mean for this data.
7, 5, 2, 7, 6, 12, 10, 4, 8, 9
Range
Mean
16-Sep-18
Created by Mr. Lafferty

8. Extreme values and their effect on the mean
Here are some 1500 metre race results in minutes.
Are there any extreme values?
Will the mean be increased or reduced by the extreme value?
Calculate the mean with the extreme value.
Now calculate the mean without the extreme value. How much does it change?
The mean with the extreme value is 59.1 ÷ 9 = 6.57 minutes
The mean without the extreme value is ÷ 8 =6.06 minutes
Another example of when an extreme value would occur is an experiment on reaction time, where an anomalous result (e.g. if the participant’s hand slips) will be very large compared with the rest of the results.
It may be appropriate in research or experiments to remove an extreme value before carrying out analysis of results.
16-Sep-18
Created by Mr. Lafferty

9. Now try Exercise 1 Ch9 (page 104)
Average / Mean
Level 2
Now try Exercise 1 Ch9 (page 104)
16-Sep-18
Created by Mr. Lafferty

10. Lesson Starter www.mathsrevision.com Q1.
Level 2
Q1.
Q2. How long between 8:40am to 1.20pm
Q x 6
Q x 100
Q5. Put these numbers in order
52, 55, 62, 51, 59, 62, 52, 59, 61, 55
16-Sep-18
Created by Mr. Lafferty

11. Aims of the Lesson www.mathsrevision.com
Level 2
1. Understand the term Frequency Table.
2. Construct a Frequency Table.
3. Interpret information from Frequency Tables.
16-Sep-18
Created by Mr. Lafferty

12. Sum of Tally is the Frequency
Frequency tables
Raw data can often appear untidy and difficult to understand. Organising such data into frequency tables can make it much easier to make sense of (interpret) the data.
Data
Tally
Frequency
llll
represents a tally of 5
Sum of Tally is the Frequency
16-Sep-18

13. Frequency tables
Example 1. A tomato grower ideally wants his tomatoes to have diameters of 60mm, but a diameter ranging from 58mm to 62mm will be acceptable. Organise the diameters given below into a frequency table. 58 59 56 62 57 60 61
Lowest number 56
Highest number 62
16-Sep-18
Created by Mr. Lafferty

14. Frequency tables X X X X X X 58 60 56 59 57 61 62 Diameter Tally
16-Sep-18
Created by Mr. Lafferty

15. Frequency tables X X X X X 58 60 56 59 57 61 62 Diameter Tally
lll
llll 3 4 9 13 10 5 4
16-Sep-18
Created by Mr. Lafferty

16. Now try Exercise 2 Ch9 (page 108)
Frequency Tables
Level 2
Now try Exercise 2 Ch9 (page 108)
Q3 , Q5 – Q9
16-Sep-18
Created by Mr. Lafferty

17. Lesson Starter www.mathsrevision.com Q1.
Level 2
Q1.
Q2. How long between 8:12am to 2.09pm
Q x 7
Q4.
Find arrow value
1200
1300
Q5. The answer to a question is 81. Write
down the question.
16-Sep-18
Created by Mr. Lafferty

18. Aims of the Lesson We are learning to interpret
Level 2
We are learning to interpret
information from Line Graphs.
2. Construct a Line Graph.
16-Sep-18
Created by Mr. Lafferty

19. What are the Keypoints when creating a line graph ?
Title
Labels
Units
Reasonable Scale
What are the Keypoints when creating a line graph ?
Line graphs
Line graphs are most often used to show trends over time.
If the temperature in Aberdeen, in ºC, over a 12-hour period is plotted, the line graph shows the temperature trend.
16-Sep-18
Created by Mr. Lafferty

20. A hospital nurse recorded a patient’s temperature every hour
Time (Hour)
6 am
7 am
8 am
9 am
10 am
11 am
Temperature oC
101
102
102.5
103
100.5
Temperature against Time
Title
Labels
Units
Reasonable Scale
102
103
Temperature C
101
100 9 10 11 6 7 8
16-Sep-18
Time (Hours AM)

21. Now try Exercise 3 Ch9 (page 111)
Line Graphs
Level 2
Now try Exercise 3 Ch9 (page 111)
Q1 – Q5
16-Sep-18
Created by Mr. Lafferty

22. Lesson Starter www.mathsrevision.com Q1. Q2. 240 divided by 60
Level 2
Q1.
Q divided by 60
Q3. Simplify
A circle is divided into 10 equal pieces.
The whole circle is 100%. What value
is one piece.
Q4.
Q5. The answer to a question is 60. Write
down the question.
16-Sep-18
Created by Mr. Lafferty

23. Aims of lesson We are learning www.mathsrevision.com
Level 2
We are learning
Work out the percentage of 1 slice.
Interpret information from pie charts.
Calculate the percentage values of a quantity.
16-Sep-18
Created by Mr. Lafferty

24. Pie Charts Pie charts can be thought of as circle graphs.
Count the number of parts the circle is divided into.
The percentage represented by each part is:
Whole circle 100%
100%  number of parts
16-Sep-18
Created by Mr. Lafferty

25. Pie Charts
A drinks machine dispenses 500 drinks on a Monday. The information is displayed in the pie chart. Use the information to find the number of each drink sold.
Tea 20%
Squash 40%
Each part is 100%  10 = 10%
tea
milk
squash
coffee
Coffee 30%
Milk 10%
16-Sep-18
Created by Mr. Lafferty

26. Now try Exercise 4 Ch9 (page 113)
Pie-Charts
Level 2
Now try Exercise 4 Ch9 (page 113)
16-Sep-18
Created by Mr. Lafferty

27. Created by Mr. Lafferty Maths Dept.
Starter Questions
16-Sep-18
Created by Mr. Lafferty Maths Dept.

28. Created by Mr. Lafferty Maths Dept.
Pie Charts
Constructing Pie Charts
Learning Intention
Success Criteria
Find fractions of 360o.
We are learning to construct an accurate
Pie-Chart.
2. Use these fractions to construct a Pie Chart.
16-Sep-18
Created by Mr. Lafferty Maths Dept.

29. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
16-Sep-18
Created by Mr. Lafferty Maths Dept.

30. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
Rugby
16-Sep-18
Created by Mr. Lafferty Maths Dept.

31. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
16-Sep-18
Created by Mr. Lafferty Maths Dept.

32. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
Football
16-Sep-18
Created by Mr. Lafferty Maths Dept.

33. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
16-Sep-18
Created by Mr. Lafferty Maths Dept.

34. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
Cricket
16-Sep-18
Created by Mr. Lafferty Maths Dept.

35. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
16-Sep-18
Created by Mr. Lafferty Maths Dept.

36. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
Squash
Ice Hockey
16-Sep-18
Created by Mr. Lafferty Maths Dept.

37. Created by Mr. Lafferty Maths Dept.
Drawing Pie Charts
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey
Squash
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Total
300
90o
108o
54o
72o
36o
16-Sep-18
Created by Mr. Lafferty Maths Dept.

38. Drawing Pie Charts Total
In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.
Rugby
Football
Cricket
Ice Hockey 75 90 45 60
Favourite Sport
Squash 30
Worksheet Constructing a Pie Chart
16-Sep-18
Created by Mr. Lafferty Maths Dept.

39. Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90

40. Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar

41. Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar

42. Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar
Violin

43. Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Violin
Guitar

44. Recorder Violin Guitar
Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Recorder
Violin
Guitar

45. Guitar Recorder Violin
Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar
Violin
Recorder

46. Keyboard Drum Guitar Recorder Violin
Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar
Violin
Recorder
Keyboard
Drum

47. Guitar Violin Recorder Keyboard Drum
Drawing Pie Charts
In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.
Guitar
Violin
Recorder
Drum 35 10 15 5
Musical Instrument
Keyboard 25
Total 90
Guitar
Violin
140o
100o
60o
40o
20o
Recorder
Keyboard
Drum

48. Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Drawing Pie Charts
Total
120

49. Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Vanilla

50. Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Vanilla

51. Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Vanilla
Banana

52. Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Banana
Vanilla

53. Chocolate Strawberry Banana Vanilla
Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Banana
Vanilla
Chocolate
Strawberry

54. Banana Chocolate Vanilla Strawberry
Drawing Pie Charts
Vanilla
Banana
Chocolate
Strawberry 13 22 28 57
Ice-cream Sales
The information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Total
120
Banana
Vanilla
Chocolate
Strawberry
39o
66o
84o
171o