Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A random sample of 12 rods from a particular machine has lengths, in millimetres, given by $200,\;201,\;198,\;202,\;200,\;199,\;199,\;201,\;197,\;202,\;200,\;199$.
(a)[3]

Find unbiased estimates for the population mean and variance.

(b)[1]

State one statistical reason why these estimates may not be reliable.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Mean estimate $\mathrm{est}(\mu)$ given as $\frac{1199}{6}$ or $199.833$ or $200$ or $\frac{2398}{12}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI