Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

In each year, the total number of sunshine hours, $x$, in Kintoo is measured for the month of June. The findings for the latest 60 years are shown in the table, with the classes $30 \leq x < 60$, $60 \leq x < 90$, $90 \leq x < 110$, $110 \leq x < 140$, $140 \leq x < 180$ and $180 \leq x \leq 240$ together with their frequencies.
(a)[3]

Draw a cumulative frequency graph to represent the data.

(b)[2]

Use your graph to estimate the 70th percentile for the data.

(c)[3]

Calculate an estimate for the mean number of hours of sunshine in Kintoo in June over the last 60 years.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: All cumulative frequencies correctly given (upper values $60,90,110,140,180,240$ with cumulative frequencies $4,12,26,51,58,60$)

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