Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

In an open-plan office there are $88$ computers. The lengths of time taken by these $88$ computers to reach a particular web page are shown on the cumulative frequency diagram.
(i)[4]

On graph paper, draw a box-and-whisker plot to represent this information.

(ii)[2]

An ‘outlier’ means any data value that is greater than $1.5$ times the interquartile range above the upper quartile, or more than $1.5$ times the interquartile range below the lower quartile. Demonstrate that there are no outliers.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Lower quartile, median and upper quartile positioned approximately correctly on the boxplot (LQ $\approx 2.6$, median $\approx 3.8$, UQ $\approx 6.4$)” …

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