Year 8 Maths • AC9M8ST02 • Authored homework
Sampling methods and data distributions
Practise Sampling methods and data distributions through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.
Part A
Short-answer questions
Find the mean, median and range of 4, 6, 7, 9, 14.
Describe whether a data set with one very large value is skewed.
Explain how an outlier can affect the mean.
A student reports only the mean for a skewed distribution. Explain what else should be included.
Write the rule or formula most useful for Sampling methods and data distributions.
Show how to check one answer using estimation, substitution or inverse operations.
Write one common mistake students make in Sampling methods and data 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 Sampling methods and data distributions and solve it.
Part B
Long-answer questions
Compare two class test-score distributions using centre and spread.
Use a dot plot or box-style description to compare two samples and make a claim.
Solve a multi-step problem involving Sampling methods and data distributions and explain every step clearly.
Create a realistic word problem for Sampling methods and data distributions, solve it and interpret the answer.
Compare two methods for a problem in Sampling methods and data 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 Sampling methods and data distributions.
Explain how this topic connects to a previous Year 7 or Year 8 maths skill.
Write a full-mark response to a challenging Sampling methods and data distributions question, including reasoning and final answer.
Part C
Research and understanding task
Research two data sets on a topic such as weather, sport or prices. Compare their distributions.