Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

For 40 values of $x$, it is given that $\Sigma(x - k) = 836.0$ and $\Sigma(x - k)^2 = 25410.8$, with $k$ a constant.
(a)[2]

The mean of these 40 values is $124.0$; determine $k$.

(b)[2]

Determine the standard deviation of these 40 values of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up a correct equation by equating the total to the mean, e.g. $4960-40k=836$ or $124-k=20.9$.

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