Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The histogram below shows the lengths of worms found in a garden.
(i)[2]

Calculate the frequencies shown by the four histogram bars.

(ii)[4]

On the grid on the next page, draw a cumulative frequency graph for the lengths of worms in the garden.

(iii)[3]

Use your graph to estimate the median and the interquartile range for the lengths of worms in the garden.

(iv)[2]

Calculate an estimated mean length for the worms in the garden.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses frequency multiplied by class width

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI