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Tables Charts Graphs

Relative Frequency

Reading Pie Charts

Constructing Pie Charts

Cumulative Frequency Tables

Cumulative Frequency Graphs

Dot Plots

Five Figure Summary

Box Plots

Starter Questions

Tables Charts Graphs

Relative Frequency

Learning Intention

Success Criteria

- Know the term relative frequency.

- To understand the term relative frequency.

- Calculate relative frequency from data given.

Tables Charts Graphs

Relative Frequency always added up to 1

Relative Frequency

Relative Frequency How often an event happens

compared to the total number of events.

Example Wine sold in a shop over one week

Country Frequency Relative Frequency

France 180

Italy 90

Spain 90

Total

0.5

180 360

0.25

90 360

0.25

90 360

1

360

Tables Charts Graphs

Relative Frequency

Relative Frequency How often an event happens

compared to the total number of events.

Example Calculate the relative frequency for

boys and girls born in the Royal Infirmary

hospital in December 2007.

Relative Frequency adds up to 1

Boys Girls Total

Frequency 300 200

Relative Frequency

500

0.6

0.4

1

Tables Charts Graphs

Relative Frequency

Now try Exercise 1 Ch10 (page 138)

Starter Questions

Pie Charts

Reading Pie Charts

Learning Intention

Success Criteria

- Find the relative frequency for an angle with in

a Pie Chart.

1. To interpret information from Pie Charts.

2. Use relative frequency to interpret Pie Chart

information.

Reading Pie Charts

Pie charts can be thought of as circle graphs.

Two step process

- 1. Work out relative frequency of each angle.
- 2. Then multiply by the total amount that the

circle represents.

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.

Use the two step process

Tables Charts Graphs

Reading Pie Charts

Now try Exercise 2 Ch10 (page 140)

Starter Questions

2cm

3cm

29o

4cm

A

C

70o

53o

8cm

B

Pie Charts

Constructing Pie Charts

Learning Intention

Success Criteria

- Find fractions of 360o.

1. To construct an accurate Pie-Chart from a

given table using fractions of 360o.

2. Use these fractions to construct a Pie Chart

given in a table.

Total

300

Rugby

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Football

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Cricket

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Squash

Ice Hockey

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Constructing Pie Charts

Now try Exercise 3 Ch10 (page 141)

Starter Questions

Cumulative Frequency Tables

Learning Intention

Success Criteria

- Add a third cumulative column to a frequency

table.

1. To explain how to construct a cumulative

Frequency Table.

Cumulative Frequency Tables

Example This table shows the number of cars

sold by a motor dealership each day over a seven

day period.

Day Freq. (f)

Cum. Freq. Total so far

2

1

2

A third column is added to keep a running total.

This makes it easier to get the total number of

items.

3

2

5

1

3

6

6

4

12

5

5

17

6

8

25

7

4

29

Cumulative Frequency Tables

Construct a cumulative frequency table for this

data

Frequency C. Freq.

Total

Shoe Size

1

1

1

4

2

5

5

3

10

14

4

24

2

5

26

4

6

30

30

Cumulative Frequency Tables

Now try Exercise 4 Ch10 (page 143)

Starter Questions

Waist Sizes Frequency

28 7

30 12

32 23

34 14

Cumulative Frequency Tables

Learning Intention

Success Criteria

- Be able to construct a cumulative frequency graph.

1. To show how to construct a cumulative

frequency graph from cumulative frequency table.

Cumulative FrequencyGraphs

- How to draw a cumulative frequency graph

Plot

How to construct a Cumulative Frequency Graph

Km travelled on 1 gallon (mpg) Frequency Cumulative Frequency

20 3 3

25 8 11

30 19 30

35 23 53

40 16 69

45 7 76

50 4 80

Cumulative FrequencyGraphs

Sometimes called an S curve graph

Write down a question you could ask about this

graph.

Cumulative FrequencyGraphs

Now try Exercise 5 Ch10 (page 145)

Starter Questions

10cm

90o

Dot Plot

Learning Intention

Success Criteria

- Be able to construct a dot and identify the key

features of various plots.

1. To show how to construct a dot plot and

identify key feature..

Dot Plot

- Dot plots are a very simple yet useful way of

getting a feel for data using the number line.

Write down as many key points that you can deduce

from the plot.

- Lowest value is 56 BPM.
- Highest value is 74 BPM.
- Mode is 62.
- Median is also 62.
- Distribution is fairly flat.

Dot Plot

Example A group of students measure their pulse

rates when resting. The rates are 66, 69, 62,

58, 74, 56, 67, 72, 61, 62, 59

By looking at the shape of the distribution try

and describe the 6 types we have.

Dot Plot

Common expressions for various dot plots.

Symmetrical distribution

Widely spread out distribution

Uniform distribution

Tightly clustered distribution

Skewed to the right distribution

Skewed to the left distribution

Dot Plot

Now try Ex. 6 (page 147)

Starter Questions

33o

Five Figure Summary

Learning Intention

Success Criteria

- Understand the terms
- L , H, Q1, Q2 and Q3.

1. To explain the meaning and show how to

workout the five summary information for a set of

data.

- Be able to work
- L , H, Q1, Q2 and Q3
- For a set of data

Five Figure Summary

- When a set of numbers are put in ORDER,
- it can be summarised by quoting five figures.

1. The highest number (H)

2. The lowest number (L)

3. The median, the number that halves the list

(Q2)

4. The upper quartile, the median of the upper

half (Q3)

5. The lower quartile, the median of the lower

half (Q1)

Five Figure Summary

Q2 Median (middle value)

Q1 lower middle value

Q3 upper middle value

Example Find the five figure summary for the

data. 2, 4, 5, 5, 6, 7, 7, 7, 8, 9, 10

The 11 numbers are already in order !

7

8

5

Q3

Q2

Q1

7

L

H

10

2

Five Figure Summary

Q2 Median (middle value)

Q1 lower middle value

Q3 upper middle value

Example Find the five figure summary for the

data. 2, 4, 5, 5, 6, 7, 7, 8, 9, 10

The 10 numbers are already in order !

8

Q3

Q2

Q1

6.5

5

L

H

10

2

Five Figure Summary

Q2 Median (middle value)

Q1 lower middle value

Q3 upper middle value

Example Find the five figure summary for the

data. 2, 4, 5, 5, 6, 7, 8, 9, 10

The 9 numbers are already in order !

6

8.5

Q3

Q2

Q1

4.5

6

L

H

10

2

Five Figure Summary

Now try Exercise 7 Ch10 (page 150)

Starter Questions

Box Plot

Learning Intention

Success Criteria

- Be able to construct a box plot using the five

figure summary data.

1. To show how to construct a box plot using

the five figure summary.

Median drive 90 yards

Finding the median, quartiles and inter-quartile

range.

Example 1 Find the median and quartiles for the

data below.

12, 6, 4, 9, 8, 4, 9, 8,

5, 9, 8, 10

Order the data

4, 4, 5, 6, 8, 8, 8, 9,

9, 9, 10, 12

Inter- Quartile Range 9 - 5½ 3½

Semi Inter- Quartile Range 3½ 2 1¾

Finding the median, quartiles and inter-quartile

range.

Example 2 Find the median and quartiles for the

data below.

6, 3, 9, 8, 4, 10, 8,

4, 15, 8, 10

Order the data

3, 4, 4, 6, 8, 8, 8, 9,

10, 10, 15,

Inter- Quartile Range 10 - 4 6

Semi Inter- Quartile Range 6 2 3

Lower Quartile

Upper Quartile

Lowest Value

Highest Value

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Box Plot

Now try Ex 8 9 Ch10 (page 152)