Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

During a statistics lesson, 12 people were told to choose a number, $x$, from 1 to 20 inclusive. From the data, Tom obtained $\sum x = 186$ and a standard deviation for $x$ of $4.5$. Assuming Tom’s calculations are correct, find the values of $\sum (x - 10)$ and $\sum (x - 10)^2$.
(main)[3]

Find the values for $\sum (x - 10)$ and $\sum (x - 10)^2$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate evaluation of $\sum (x-10)=186-12\times10=66$

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