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CAIE A-Level Mathematics 6.4.5 Sample mean

Practise deciding when the Central Limit Theorem is needed and using an approximate normal model for large-sample means.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • explain that CLT is needed when the population distribution is unknown or not normal
  • use sample size in the standard error when finding probabilities for X̄
  • state which part of a confidence interval or test uses the normal z-value

6.4.5—Sample mean question 1

[Maximum number: 1]

The score on one spin of a 5 -sided spinner is denoted by the random variable X with probability distribution as shown in the table.

Table for Question 6.4.5—Sample mean question 1 — CAIE A-Level Mathematics A2

Explain whether it was necessary to use the Central Limit theorem in your answer to part (b).

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