Mathematics 0580 · IGCSE · Averages and measures of spread

Averages and measures of spread — practice question

The mass, $m$ kg, of each of the 40 parcels in a warehouse is measured. The table gives the mass data for these parcels.
(a(i))[3]

Complete the histogram so that it represents this information.

(a(ii))[4]

Calculate an estimated mean mass for the parcels.

(a(iii))[1]

Find the probability that the chosen parcel has a mass of 2 kg or less.

(a(iv))[3]

Work out the probability that one has mass greater than 7 kg while the other has mass 4 kg or less.

(b(i))[1]

Find the median value.

(b(ii))[1]

Find the interquartile range of the masses.

(b(iii))[2]

Describe how removing these parcels affects the median mass of the parcels left behind. Give a reason for your answer.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate histogram

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