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Discrete vs Continuous Variables

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Discrete vs Continuous Variables

Data collection illustration

📚 Part 1: Understanding Variables

Remember: A discrete variable can only take specific values (usually whole numbers you can count). A continuous variable can take any value within a range (usually measurements).

1. Which of these is a discrete variable?

The height of students in centimetres

The number of pets in a family

The weight of apples in kilograms

The temperature in degrees Celsius

2. Which of these is a continuous variable?

Number of books on a shelf

Number of students in a class

Time taken to run 100 metres

Number of cars in a car park

3. Check ALL the discrete variables:

Number of goals scored in a football match

Distance travelled to school in kilometres

Number of siblings you have

Amount of rainfall in millimetres

Number of apps on a mobile phone

✏️ Part 2: Classifying Variables

4. For each variable below, write "D" for discrete or "C" for continuous:

a) The cost of groceries in dollars: _____

b) Number of people at the cinema: _____

c) Length of a pencil in centimetres: _____

d) Number of text messages sent per day: _____

e) Speed of a car in kilometres per hour: _____

5. Give two examples of discrete variables that you might collect data about in your classroom:
6. Give two examples of continuous variables that you might measure at your school:
7. Explain in your own words the difference between discrete and continuous variables:

🎯 Part 3: Real-World Scenarios

8. A sports coach wants to collect data about their team. Circle whether each piece of data would be discrete (D) or continuous (C):

Number of training sessions attended: D / C

Height of each player: D / C

Number of goals scored this season: D / C

Time taken to run one lap: D / C

9. A baker is keeping track of their shop. For each variable, explain why it is discrete or continuous:

a) Number of cupcakes sold: ________________________________

b) Weight of flour used in grams: ________________________________

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