Statistics and Probability Introduction

Name:

Date:

📊 Part 1: Understanding Chance and Outcomes

1. You flip a coin 20 times. What are the possible outcomes for each flip?

Heads or Tails

Heads, Tails, or Standing up

Only Heads

Only Tails

2. Which outcomes are equally likely when rolling a fair six-sided dice?

Rolling a 1

Rolling a 6

Rolling an even number

Rolling a 3

3. Your whānau is planning a picnic. The weather forecast says there's a 70% chance of rain. This means:

It will definitely rain

It probably will rain

It probably won't rain

It will definitely be sunny

4. Complete this sentence: When we say an event has "tūpono" (chance), we mean:

The outcome is _________________ and we cannot predict it with certainty.

📈 Part 2: Data Collection and Recording

5. You conducted an experiment flipping a coin 20 times. Here are your results:
Heads: |||| |||| || (12 times)
Tails: |||| ||| (8 times)

What percentage of flips were heads?

6. Create a tally chart for rolling a dice 15 times with these results:
3, 1, 4, 2, 3, 6, 1, 3, 5, 2, 4, 3, 1, 6, 3

7. Write an investigative question you could explore about chance in your kura or community. Use the format: "Me pēhea te tūpono o...?" (What is the chance of...?)

🤔 Part 3: Critical Thinking About Probability

8. Aroha says: "I flipped a coin 10 times and got 7 heads. This coin is unfair." Do you agree or disagree? Explain your reasoning using evidence.

9. Your class collected data on favourite kai (food) for 30 students:
Hangi: 12 students
Fish and chips: 10 students
Pizza: 8 students

If you randomly picked one student, which kai would they most likely choose? Explain why.

10. Extension Challenge: Design a simple probability experiment you could do at home with your whānau. Describe what you would investigate and how you would collect the data.