Handling data 1

Handling data 1
BTEOTSSSBAT:
Identify quantitative and qualitative data
Display data using bar charts, pie charts and stem and leaf diagrams

Key words
Discrete
Continuous
Stem and leaf diagram
data
pictogram
pie chart
bar chart
tally
frequency

Data
Types of data
Statistics is a branch of mathematics that is concerned with the collection and interpretation of data.
There are different types of data:

Data
Qualitative
Quantitative
Types of data

Data
Qualitative
Quantitative
Continuous
‘measured’
Discrete
‘counted’
Types of data

Now try these 1
State whether each of the following is qualitative or quantitative data. If quantitative, state whether it is discrete or continuous.
(a) The number of pupils in a class.
(b) The colour of cars in a car park.
(c) The time spent by a motorist waiting at a red traffic light.
(d) The styles of women’s dresses available in a chain store.
(e) The number of votes received by the candidates in an election.
(f) The club of each of the members of the England football team.
(g)The number of players from a club who play football for England.
(h) The mass of a new born baby.
(i) The number of words on a page of a book.
(j) The duration of a hockey match.

Collecting data

Pictogram
A pictogram is a very simple-to-read way of presenting data. It is cheerful and it makes a powerful visual impact.

Bar Chart
The bar chart is easier to draw than a pictogram and allows for greater accuracy. It is best drawn on graph paper.

How to draw pie charts
Step 1
Put the information in a table

Step 1
Step 2
Work out how many degrees for one
item
360º represent 10 people
So 360º ÷ 10 = 36º
36º represent 1 person

Step 1
Step 2
Work out how many degrees for one
item
360º represent 10 people
So 360º ÷ 10 = 36º
36º represent 1 person
Step 3
Write down in the table how many degrees for each item.

Step 5
Draw a circle and draw on the correct angles

Step 5
Draw a circle and draw on the correct angles
Grey eyes
Step 6
Label the segments
Blue eyes
Hazel eyes
Green eyes

Stem and leaf diagrams
Stem and leaf diagrams are also known as stemplots. They are useful ways of displaying information.
Example
These are the results for a module test for 10 students:
12 23 34 35 37 55 56 57 68 68

Example
12 23 34 35 37 55 56 57 68 68
We can display this on a stem and leaf diagram.
102
203
304 5 7
40
505 6 7
608 8
Leaves
Stem

Example
12 23 34 35 37 55 56 57 68 68
1 2
2 3
3 4 5 7
4
5 5 6 7
6 8 8

Example
12 23 34 35 37 55 56 57 68 68
lowest
L = 12
1 2
2 3
3 4 5 7
4
5 5 6 7
6 8 8

Example
12 23 34 35 37 55 56 57 68 68
L = 12
1 2
2 3
3 4 5 7
4
5 5 6 7
6 8 8
H = 68

Example
12 23 34 35 37 55 56 57 68 68
L = 12
1 2
2 3
3 4 5 7
4
5 5 6 7
6 8 8
H = 71
n = 12

Example
12 23 34 35 37 55 56 57 68 68
L = 12
1 2
2 3
3 4 5 7
4
5 5 6 7
6 8 8
H = 71
n = 12
A key
3 3 represents 33 marks

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Handling data 1

by Steve Bishop on Nov 15, 2010

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