(i)[3]
Use the grid to sketch a cumulative frequency graph for the data.
(ii)[2]
$35$ of these cars took more than $t$ seconds to accelerate from $0$ to $30$ metres per second. Estimate the value of $t$.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
The time needed for a car to speed up from $0$ to $30$ metres per second was recorded to the nearest second. The data for $48$ cars are summarised in the table below:
Time (seconds): $3\text{-}5,\;6\text{-}8,\;9\text{-}11,\;12\text{-}16,\;17\text{-}25$
Frequency: $10,\;15,\;17,\;4,\;2$
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct set of cumulative frequency values, for example $(5,10),(8.5,25),(11.5,42),(16.5,46),(25.5,48)$” …
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