Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Capacity is the term for how many people a football stadium can accommodate. A table summarises the capacities of $130$ football stadiums in the UK, rounded to the nearest thousand.
(i)[5]

Using graph paper, draw a histogram to show this information. Apply a scale of $2$ cm for a capacity of $10000$ on the horizontal axis.

(ii)[2]

Calculate an estimated mean capacity for these $130$ stadiums.

(iii)[2]

Identify the class in the table that contains the median and the class that contains the lower quartile.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Class widths are correct, whether stated directly or implied

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