Edexcel A-Level Mathematics A2 S2.4.2 Concepts of a Statistic and Its Sampling Distribution Questions

Practise identifying statistics and building sampling distributions, including outcome ranges and probabilities, with verified Edexcel IAL evidence.

Exam points

explain why an expression involving an unknown population parameter is not a statistic
list possible statistic values and assign probabilities to form a sampling distribution
calculate probabilities for a sample range using combinations of outcomes

[Maximum number: 1]

A random sample of two observations $X_{1}$ and $X_{2}$ is taken from a population with unknown mean $\mu$ and unknown variance $\sigma^{2}$

Explain why $\frac{X_{1}-\mu}{\sigma}$ is not a statistic.

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