Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

On one particular day, the heights of $150$ sunflower plants, which were grown by children at a nearby school, are recorded to the nearest cm. The results are then arranged in the table below.
(a)[4]

Draw a cumulative frequency graph to show the data.

(b)[2]

Use your graph to estimate the $30$th percentile for the heights of the sunflower plants.

(c)[5]

Calculate estimates of the mean and the standard deviation for the heights of the $150$ sunflower plants.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate cumulative frequencies $28,60,102,130,144,150$

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