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A questionnaire asks only classmates arriving before 8 am. Explain a coverage issue when estimating the whole school’s commute time.

Read the idea, work independently, then explain what changed.

TOPIC 01

Statistics: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

What you will be able to explain

  • Connect the chapter skills without relying on the order of the exercises.

Try it. Leave your reasoning visible.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Foundation#Your turn

A questionnaire asks only classmates arriving before 8 am. Explain a coverage issue when estimating the whole school’s commute time.

n=70n=70
  • Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1
State the survey question, population, sampling and measurement rules before drawing a conclusion.
Hint 2
Compare the sampling frame with the target population.
Worked solution
  1. State the survey question, population, sampling and measurement rules before drawing a conclusion.

  2. Calculate or simplify this relation.

    sampling frame⊊target population\text{sampling frame}\subsetneq\text{target population}
  3. More responses within the same restricted frame do not repair that exclusion.

Late-arriving students are excluded and may have systematically different commutes.

Checks and common pitfalls: More responses within the same restricted frame do not repair that exclusion.

Reasoning checklist · self / teacher assessment
  • State the relevant definition, condition or model.
  • Show a valid calculation, proof or counterexample.
  • Interpret the conclusion with its restrictions.

Think first. Reveal a hint when the class is ready.

Focus on one question

Teacher preparation and assessment

Question sequence

  • Ask students to name the relevant condition before calculating.

Board plan

  • Compare valid methods and annotate their conditions.

Anticipated thinking

  • A correct final value may still hide a missing assumption.

Assessment checklist

  • Check the method, conditions, reasoning and interpretation separately.

No sign-in. Work stays in this browser. Export before clearing browser data. Written reasoning is assessed with a checklist.

Curriculum and source notes ↗