(a)[2]
On the grid, construct a cumulative frequency graph to show these results.
(b)[2]
Use your graph to estimate the interquartile range of the distances.
(c)[6]
Calculate estimates of the mean and standard deviation for the distances.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The distances, $x$ m, that $140$ children travelled to school were recorded. The findings are summarised in the table below: distances $x \leq 200, x \leq 300, x \leq 500, x \leq 900, x \leq 1200, x \leq 1600$ with matching cumulative frequencies $16, 46, 88, 122, 134, 140$.
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