Sample variation and distributions

Explain why two random samples from the same population may give different proportions.

In one sample 18 of 30 prefer buses; in another 42 of 70 prefer buses. Compare the proportions.

Describe how increasing sample size can affect variation.

A student expects every sample to match the population exactly. Correct this idea.

Write the rule or formula most useful for Sample variation and distributions.

Show how to check one answer using estimation, substitution or inverse operations.

Write one common mistake students make in Sample variation and distributions and correct it.

Create a small table, diagram or equation that represents this topic.

State where units, exact form or rounding matter in this topic.

Write one exam-style short question on Sample variation and distributions and solve it.

Simulate 20 coin tosses and 100 coin tosses, then compare how close the results are to 50%.

Compare proportions from two samples and decide whether the difference is likely meaningful or could be sample variation.

Solve a multi-step problem involving Sample variation and distributions and explain every step clearly.

Create a realistic word problem for Sample variation and distributions, solve it and interpret the answer.

Compare two methods for a problem in Sample variation and distributions and explain which is more efficient.

Write a worked solution that includes a check for reasonableness.

Create a problem with a deliberate trap, then solve it correctly and explain the trap.

Use a diagram, table, graph or equation to model a situation involving Sample variation and distributions.

Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

Write a full-mark response to a challenging Sample variation and distributions question, including reasoning and final answer.