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3. Data Presentation
Graphs & Charts
Graphs
Graphs are pictorial presentations of data. They should be chosen to enable the data to be displayed in the most effective and clear way possible. All diagrams must be fully labelled, and care must be taken to select an appropriate scale so the data is not in any way capable of misrepresentation. All graphs should be accompanied by a sentence or two of explanation.
Bar Charts
A bar chart is a diagram consisting of columns (bars), the heights of which indicate frequencies. A histogram is similar to a bar chart, but without gaps between columns. However, although bar charts can only be used with discrete data (categories such as gender etc.) on the x axis, histograms can use continuous data (measurement of time etc.).
Graph to show what males and females are offering in Lonely-hearts Adverts
0
10
20
30
40
50
Resources Attractiveness
Offering
Freq
uenc
y Males
Females
Pie Chart
A pie chart is particularly suitable for displaying how a population is divided up into different parts and what proportion of the whole each portion represents. The bigger the proportion, the bigger the slice of pie!!
Graph to show who is looking for who in Lonely-Hearts Columns
Women looking for men
Men looking for women
Women looking forwomen
Men looking for men
Line Graph
Line graphs are used to show a trend over time or how a participant’s experiences change. The x-axis on a line graph must always use continuous units of measurement, for example time.
A Histogram can also be used to display continuous data, when the bars are joined with a line, this is known as a frequency polygon.
Graph to show total number of Lonely-Hearts Adverts placed in 2005
0
500
1000
1500
2000
Month
Num
ber
Scatter graph
Correlations look for a relationship between two variables. This is not to say that one thing causes another, simply that one thing varies in accordance with another. Correlations are displayed on a scattergraph
Graph to show Age of Male and Age of Female Partner sought
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10
20
30
40
50
60
0 10 20 30 40 50 60
Male Age
Fem
ale
Age
Normal Distribution
Characteristics of a normal distribution curve, also know as a bell-shaped curve or a Gaussian curve: -
It is bell-shaped It is symmetrical The, mean, median and
mode all fall on the same central point.
The two tails never touch the horizontal axis.
Summary
Bar Chart –Displays frequencies of discrete data
Pie Chart – Displays proportions of the whole population
Line Graph – Displays trends using continuous data
Scattergraph – Displays correlations
Normal Distribution – Expected pattern of many human characteristics such as IQ, height & weight etc.