Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
The amount of daily rainfall, $x\text{ mm}$, in one village is measured over 250 consecutive days. The results are shown in the cumulative frequency table below.
(i)[2]
On the grid, plot a cumulative frequency graph to represent the data.
(ii)[2]
On 100 of the days, the rainfall measured $k\text{ mm}$ or more. Use your graph to estimate $k$.
(iii)[6]
Calculate estimates for the mean and standard deviation of the daily rainfall in this village.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Suitable linear scales starting from $(0,0)$, with the axes labelled” …