Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Helen records the lengths of $150$ fish from one species in a large pond. Their lengths, measured to the nearest centimetre, are displayed in the table below.
(a)[4]
Construct a cumulative frequency graph to represent the data.
(b)[2]
$40\%$ of these fish have a length of $d$ cm or more. Estimate the value of $d$ from your graph.
(c)[3]
The mean length of the $150$ fish is $15.295\text{ cm}$. Estimate the variance of the fish lengths.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Cumulative frequencies correctly given as $15,63,129,150$.” …