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Data and Probability Experiments

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Data and Probability Experiments

📊 Part 1: Understanding Data and Probability

1. What is the most likely outcome when you flip a fair coin 20 times?

20 heads, 0 tails

About 10 heads, 10 tails

5 heads, 15 tails

It's impossible to predict

2. Which of these would help you decide if a dice is fair? (Tick all that apply)

Rolling it once and seeing what number comes up

Rolling it 30 times and recording all results

Creating a frequency table of results

Checking if all numbers appear roughly the same amount

3. In a frequency table, what does the word "frequency" mean?

How often something happens

The total number of experiments

The average result

The most common result

4. An outlier in data is:

The most common result

A result that is very different from the others

The middle value when data is ordered

The difference between highest and lowest values

🎲 Part 2: Probability Experiment Design

5. Design your own fairness experiment. Complete the planning below:

What will you test? (e.g., coin, dice, spinner)

How many trials will you conduct? ___________

List all possible outcomes:

If your experiment tool is fair, predict how many times each outcome should occur:

6. Create a frequency table for your experiment results:
7. Based on your results, do you think your experiment tool was fair? Explain your reasoning using the data:

📈 Part 3: Data Analysis Challenge

8. Two students tested different dice. Look at their results:

Dice A: Rolled 30 times - Number 1: 5 times, Number 2: 4 times, Number 3: 6 times, Number 4: 5 times, Number 5: 5 times, Number 6: 5 times

Dice B: Rolled 30 times - Number 1: 1 time, Number 2: 2 times, Number 3: 3 times, Number 4: 8 times, Number 5: 8 times, Number 6: 8 times

a) Which dice appears to be fairer? ___________

b) Explain your answer using the concept of "centre" and "spread":

9. Extension Challenge: If you wanted to be more confident about which dice is fair, what would you do differently?
10. Reflection: How can understanding probability help us in real life? Give one example.

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