Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Esme recorded the test marks, $x$, for a class of $16$. She determined that $\Sigma x = 824$ and that the standard deviation of $x$ was $6.5$.
(i)[3]

Calculate $\Sigma (x - 50)$ and $\Sigma (x - 50)^2$.

(ii)[3]

One person took the test later and scored $72$. Calculate the new mean and standard deviation for the marks of all $17$ people.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly finding $\sum(x-50)=24$

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