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The Nottingham Emmanuel School Mathematics Department 18 January 2016 Data can be either: numerical or quantitative data non-numerical or qualitative data Data can be either: numerical or quantitative data non-numerical or qualitative data Types of Data Some examples of quantitative data: heights time age Some examples of qualitative data: opinions favourite football teams eye colour gender
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The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Lesson Objectives Lesson Objectives (WALT)(WALT)
• Learn about different types of data
• Find out how data can be used to test hypotheses
Key WordsKey Words• Quantitative
• Discrete
• Primary
• Data
Types of DataTypes of Data
• Qualitative
• Continuous
• Secondary
• Hypothesis
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Types of Data
Primary data information you collect yourself, by asking people, measuring, carrying out experiments, and so on
Secondary datainformation that has been collected already, that you get from books, the internet, and so on
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Data can be either:numerical or quantitative data non-numerical or qualitative data
Types of Data
Some examples of quantitative data:• heights• time• age Some examples of qualitative data:
• opinions• favourite football teams• eye colour• gender
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Measuring Data
Shoe size The number of goals in a football match The temperature of a classroom The time taken to complete 100 metres at the olympics The number of GCSE grade A*s achieved in school last year The number of marks gained in a dance exam The height of a mountain
Numerical data can be either:continuous discrete
Which of the examples of numerical data given below would need to be rounded off?
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Discrete data jumps from one measurement to the next. The measurements in between have no meaning.
Shoe size You can have a shoe size of 4 or 4½ but not 4¼ .
Number of goals in a football match
You can score 2 goals but not 2.5.
The number of GCSE grade A*s achieved in your school last year
There could have been 40 or 41 A* grades but not 40.1.
The number of marks gained in a dance exam
You could get 60 but not 60.8 in the exam.
Discrete Data
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Continuous data does not jump from one measurement to the next, but passes smoothly through all the measurements in between.
The temperature of a classroom
The temperature could be 21oC, 21.1oC, 21.01oC or ….
The time taken to complete a task
The time could be 57 secs, 57.1 secs, 57.01 secs or ….
The height of a mountain
The height could be 300 m, 300.6 m, 300.0006 feet, or …..
Continuous Data
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
• Primary – data you collect yourself
• Secondary – data collected by someone else
• Quantitative – numerical values (height, weight)
• Qualitative – non-numerical (types of car, colour)
• Discrete – can be measured exactly (pages, people)
• Continuous – can always find a more accurate
measure (height, weight)
Types of Data
The Nottingham Emmanuel SchoolMathematics Department
3 May 2023
Why collect data?Statisticians collect data to test a hypothesis.
A hypothesis is a statement of something that may or may not be true, but is thought to be true.For example:
• Boys are taller than girls.
• Girls are cleverer than boys.
• China is bigger than the USA.
• Nottingham is bigger than New York.
Different sorts of data can be collected to test whether the hypothesis is true.