Mathematics 9709 · AS & A Level · Linear combinations of random variables

Linear combinations of random variables — practice question

The twelve values of $x$ are listed here: $1761.6,\;1758.5,\;1762.3,\;1761.4,\;1759.4,\;1759.1,\;1762.5,\;1761.9,\;1762.4,\;1761.9,\;1762.8,\;1761.0$.
(main)[4]

Find the mean and standard deviation of $(x - 1760)$. Hence use these to find the mean and standard deviation of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Take $1760$ away from each value to produce the coded data (allow up to 2 slips)

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