Exam code:1ST0
Types of Collected Data
What types of data do I need to be familiar with?
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There are a number of terms for types of data that you need to be familiar with
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You need to recognise and understand them when they appear in exam questions
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And be able to use them when writing your answers to questions
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Raw data is data in exactly the form that it was collected
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i.e. before it has been organised or processed in any way
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Raw data can be either quantitative or qualitative
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Quantitative data can be recorded as a number
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e.g. heights, lengths of time, numbers of people or objects, shoe sizes, etc.
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Qualitative data cannot be recorded as a number
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e.g. colours, flavours, kinds of animal, makes of car, etc.
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Quantitative data can be either continuous or discrete
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Continuous data can take any numerical value on a scale
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e.g. height, length, weight, mass
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For continuous data the measurements can become more and more accurate the more you ‘zoom in’
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Discrete data can only take on particular numerical values on a scale
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Often these are integers (e.g. numbers of people or objects)
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But they don’t have to be integers (e.g. shoe sizes, which include ‘half sizes’)
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Categorical data is data that can be organised into non-overlapping categories
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‘Non-overlapping’ is important here
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Each piece of data can belong to one and only one category
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e.g. heights less than 1.7 metres (
) and heights greater than or equal to 1.7 metres (
)
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but not
and
(because a height of 1.7 metres would belong to both categories)
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The categories can be numerical or non-numerical
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Ordinal data is data that can be written in order
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If the data is numbers, these can be ordered in the usual way
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If the data is not numbers, then it must be possible to apply a numerical ‘rating scale’
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e.g. a scale of 1 to 5 with 1 as ‘disagree strongly’ and 5 as ‘agree strongly’
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Bivariate data is data that is collected as pairs of values
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This could be data collected to investigate
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the relationship between two variables
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how changes in one variable affect the other variable
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e.g. age of car and cost of annual maintenance, train ticket price and length of journey, etc.
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What is the difference between primary data and secondary data?
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For the exam, you need to know the difference between primary data and secondary data
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This includes recognising the advantages and disadvantages of each
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Primary data is data that is collected either by the person who is going to use it, or specifically for the person who is going to use it
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Advantages of primary data:
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Can be gathered specifically for the question you are trying to answer
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The level of accuracy will be known
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The collection method will be known
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Disadvantages of primary data:
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Collecting data can require a lot of time
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It can also be expensive
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Secondary data is data that has been collected by somebody else
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Some possible sources for secondary data:
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the internet
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print media (newspapers, magazines, etc.)
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databases
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research articles
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census returns
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Advantages of secondary data
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Can be quicker to obtain (i.e. less time)
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Can be easier to obtain (i.e. more convenient)
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Less expensive than collecting data yourself
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May be more accurate than data you collect yourself (depending on the source)
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Disadvantages of secondary data
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May be hard to find relevant data for your specific question
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The data may be out of date
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The level of accuracy may not be known (e.g. the data may have been rounded)
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The collection method may not be known
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The source of the data may not be reliable
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If you use secondary data, it is always necessary to acknowledge the source that the data was taken from
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Worked Example
(a) Which of the following words can be used to describe the data in the following examples?
quantitative qualitative continuous discrete
More than one word might be applicable in each case.
(i) The weights of dogs participating in a dog show.
Weight is recorded by a number, so it is quantitative data
And weight can take on any value, so it is continuous
quantitative, continuous
(ii) The favourite ice cream flavours of the students in a school.
Flavour is not recorded as a number, so it is qualitative data
And only quantitative data can be discrete or continuous
qualitative
(iii) The number of computers owned by each household in a particular city.
The data is recorded as numbers, so it is quantitative
But only integer (i.e. whole number) values are possible, so it is discrete
quantitative, discrete
(b) Write down two types of data you could collect about cars owned by people in a particular region. State whether each type of data is categorical and/or ordinal.
You could record the make of each car (Renault, Ford, etc.)
This is categorical, because the data can be put into non-overlapping categories (just use the different makes as the categories!)
It is not ordinal, because it cannot be arranged in numerical order
Make of car (categorical, not ordinal)
You could also record the engine size of the car in cubic centimetres (cc)
This is categorical, because the data can be put into non-overlapping categories (just make sure to select the categories carefully!)
It is also ordinal, because the sizes can be put into numerical or
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