Qualitative and Quantitative Data
Revise Qualitative and Quantitative Data for GCSE Statistics with this free worksheet and full mark scheme — Foundation and Higher exam-style questions with worked answers for AQA and Edexcel. Qualitative data describe qualities in words, while quantitative data are numerical.
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These worksheets and mark schemes are original, written for Virtus Academy and checked against the current AQA and Edexcel specifications. Every worksheet comes with a full mark scheme.
Topic overview
Data is classified as either qualitative or quantitative, and this determines which diagrams and calculations can be used.
Qualitative data is descriptive and non-numerical, such as eye colour, favourite subject or type of pet. It can be counted into categories but cannot be averaged in the ordinary sense.
Quantitative data is numerical, such as height, number of siblings or time taken. It can be used in calculations, so means and standard deviations are possible. Because the type of data restricts which diagram is appropriate, identifying it correctly is the first step in almost every question about representing data.
Revision notes
Qualitative data
Descriptive, non-numerical data such as eye colour, favourite sport or brand of car.
It is sometimes called categorical data. It can be counted into categories, and the mode can be found, but the mean and median cannot be calculated in the ordinary sense.
Quantitative data
Numerical data such as height, mass, time or number of siblings.
It can be used in calculations, so the mean, median, mode and standard deviation are all possible. It divides further into discrete and continuous.
Why the distinction matters
The type of data determines which diagram is appropriate.
Bar charts and pie charts suit qualitative data. Histograms and scatter diagrams require quantitative data. Choosing a diagram that does not match the data type loses marks.
Key points
- Qualitative data is descriptive and non-numerical.
- Quantitative data is numerical.
- Qualitative data is also called categorical.
- Only quantitative data can be used in calculations.
- The mode can be found for qualitative data.
- Data type determines the appropriate diagram.
Worked examples
Example 1
State whether eye colour is qualitative or quantitative data. [1 mark]
Working
Example 2
A student records the number of pets owned by each person in their class. State the type of data and give a reason. [2 marks]
Working
Example 3
Explain why the mean cannot be calculated for qualitative data. [2 marks]
Working
Common mistakes
Calling numbered categories quantitative.
Shirt numbers are labels, not measurements, so they are qualitative.
Trying to find a mean of qualitative data.
Only the mode is available for descriptive categories.
Confusing qualitative with quantitative.
Qualitative describes a quality; quantitative gives a quantity.
Choosing a histogram for categorical data.
Histograms require continuous quantitative data.
Exam tips
- Identify the data type before choosing a diagram.
- Check whether numbers are measurements or just labels.
- Remember only the mode works for qualitative data.
- Use the word categorical as an alternative to qualitative.
Key terms
- Qualitative
- Descriptive, non-numerical data.
- Quantitative
- Numerical data usable in calculations.
- Categorical
- Another term for qualitative data.
- Mode
- The most common value, available for all data types.
Related topics
Written and reviewed against the current AQA and Edexcel specifications. Spotted an error? Let us know.