Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A simple random sample of 100 observations of a variable $X$ is selected. The figures are then summarised as follows: $n = 100$, $\Sigma x = 1556$, $\Sigma x^2 = 29\,004$.
(main)[3]

Calculate unbiased estimates for the population mean and variance of $X$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Unbiased estimate of the mean given by $\hat{\mu}=15.56$” …

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