Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

For 9 apartments in one city, the monthly rental prices, $x$, are given and can be summarised by the following: $\sum (x - c) = 1845$ and $\sum (x - c)^2 = 477\,450$. The mean monthly rental price is $\$2205$.
(i)[2]

Find the value of the constant $c$.

(ii)[2]

Find the variance of these values of $x$.

(iii)[2]

A further apartment has been included in the list. The mean monthly rental price is now $\$2120.50$. Find the rental price of this extra apartment.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate coded-mean calculation, e.g. $\frac{1845}{9}=205$

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