Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The weights of $220$ sausages are displayed in the table below. The cumulative frequencies for the weight (grams) categories $<20$, $<30$, $<40$, $<45$, $<50$, $<60$, $<70$ are $0$, $20$, $50$, $100$, $160$, $210$, $220$ respectively.
(i)[1]

State the interval containing the median weight.

(ii)[2]

Work out the minimum possible value and the maximum possible value of the interquartile range.

(iii)[1]

State the number of sausages that weighed between $50\,\text{g}$ and $60\,\text{g}$.

(iv)[4]

Use graph paper to draw a histogram for the weights of the sausages.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Interval $45$-$50$ g identified correctly

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