LEARN · EXPLAIN · REVISE

Systematically select 10k from an ordered population of 100k. Find the interval.

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

高一必修第二册(A版).pdf · 9.1 · PDF 180 / printed page 173

TOPIC 01

Random sampling

Build understanding of random sampling through definitions, contrasting cases and justified applications.

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

01 / Foundation#Your turn

k=3

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Identify the population and sampling mechanism before scaling counts.

Hint 2

Divide population size by sample size.

Worked solution

The requested value is 10.

Checks and common pitfalls: Choose a random start and inspect ordering for periodicity.

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

Teacher preparation and assessment

Use random sampling to state a justified conclusion.
Sampling design: Simple random, systematic and stratified procedures define how units are selected.
Error sources: Coverage, nonresponse and measurement problems differ from random sampling variation.
Close with: conditions → representation → reasoning → check.

Expected reasoning: Simple random, systematic and stratified procedures define how units are selected.
Expected reasoning: Coverage, nonresponse and measurement problems differ from random sampling variation.
Expected correction: A larger sample does not automatically remove selection bias.