Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
On a spring day, the heights of 200 daffodils are recorded, to the nearest centimetre. The frequency distribution is shown.
(i)[4]
Draw a cumulative frequency graph to show the data.
(ii)[2]
$28\%$ of these daffodils have height $h$ cm or above. Estimate $h$.
(iii)[3]
The estimated mean height of these daffodils, found from the table, is given as $18.39$ cm. Calculate an estimate of the standard deviation of the heights of these daffodils.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “4 or more cumulative frequencies correctly obtained from the table” …