1. ©G Dear 2010 – Not to be sold/Free to use
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Applied Mathematic
(Preliminary General 1)
Column Graphs
ge 2
Page 3
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Page 5
Page 6
Data and
Statistics
Displaying
Data
Stage 6 - Year 11
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©G Dear 2010 – Not to be sold/Free to use

2. Column Graphs Data Types Summarizing and Displaying Data
1. Categorical data
is best displayed with a column graph or

3. Line Graphs/Histograms
Summarizing and Displaying Data
data that is continuous (without breaks) in a selected range.
Data Types
data that has a finite number of values in a selected range.
2. Numerical
comes in two types.
a) Continuous
best
displayed with a line graph.
b) Discrete
best
displayed with a histogram. ? ?

4. Frequency Distribution Table
Column Graphs
Summarizing and Displaying Data
- Class Survey
Column graphs are great
For Categorical data
AFL
NRL
Soccer
Tennis
Basketball
Other 5 10 15 20 25
Frequency Distribution Table
Sport
Tally f
AFL 11 15 14 16 17 13 21 18 19 12 1 10 24 23 25 3 22 4 2 7 9 5 6 8 20
NRL 11 12 13 14 15 16 18 21 1 17 19 10 22 23 25 24 20 3 5 6 2 4 9 8 7
Soccer 11 15 16 19 14 18 17 21 13 10 1 12 6 25 5 2 24 4 3 7 9 23 20 8 22
Tennis 11 17 16 18 15 19 21 10 1 14 12 13 24 25 23 2 6 5 3 22 7 4 20 8 9
Basketball 11 17 16 18 15 19 21 10 14 1 12 13 24 23 25 22 5 4 3 2 7 6 20 8 9
Other 11 17 18 21 16 19 10 1 15 12 14 13 25 24 4 6 5 3 2 23 7 22 8 9 20
The columns don’t touch
The columns can be
different colours.

5. Line Graphs Summarizing and Displaying Data
Age
Height
Line graphs are great for continuous data. 18 19 20 21 22 23 24 25 26 27 28 29
76.1
77.0
78.1
78.2
78.8
79.7
79.9
81.1
81.2
81.8
82.8
83.5
Age and height are both continuous. 18 20 22 24 26 28 19 21 23 25 27 78 80 82 84
Height (cm)
Age (years) 29

6. Dot Plots Summarizing and Displaying Data
They are useful for small sets of data
Exercise: Roll a dice and record on a dot plot. 1 2 6
Free from 3 5 4
Double Click 1 2 3 4 5 6

7. North 2000, East 3000, South 1500 and West 2500.
Pie Charts
Summarizing and Displaying Data
They are useful for comparing sets of data
A chicken factory wants to compare the daily production from its four farms.
North 2000, East 3000, South 1500 and West 2500.
We need to convert these to angles
Total = 2000
+ 3000
+ 1500
+ 2500
= 9000
2000
9000
3000
9000
North =
x 360o
= 80o
East =
x 360o
= 120o
1500
9000
2500
9000
South =
x 360o
= 60o
West =
x 360o
= 100o

8. North 800, East 120o, South 60o and West 100o.
Pie Charts
Summarizing and Displaying Data
North 800, East 120o, South 60o and West 100o.
North
80o
West
100o
East
120o
East
120o