Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The circumferences, $c$ cm, of a number of trees in a wood were measured. The findings are set out in the table: Circumference $40 < c \leq 50$ (frequency $14$), $50 < c \leq 80$ (frequency $48$), $80 < c \leq 100$ (frequency $70$), $100 < c \leq 120$ (frequency $8$).
(i)[3]

On the grid, Draw a cumulative frequency graph to represent the data.

(ii)[2]

Estimate the percentage of trees that have a circumference greater than $75\ \text{cm}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct cumulative frequency figures given, for example $(50,14),(80,62),(100,132),(120,140)$

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