Mathematics 0580 · IGCSE · Statistical charts and diagrams

Statistical charts and diagrams — practice question

Chen asks a group of people whether they would choose a beach, cruise, lake or mountain holiday. The pie chart summarises the findings. Its sectors are marked: Beach $135^{\circ}$, Cruise $30^{\circ}$, Lake $75^{\circ}$, Mountain $120^{\circ}$.
(a(i))[2]

Determine the fraction of people who choose a mountain holiday. Give the fraction in simplest terms.

(a(ii))[1]

Determine the percentage of people who prefer a beach holiday.

(a(iii))[2]

Find the ratio for the numbers who prefer each holiday type in the order beach : cruise : lake : mountain. Give your answer in simplest form.

(a(iv))[2]

Find the probability that this person prefers a cruise or a lake holiday.

(a(v))[1]

Prove that the total number of people Chen asks is 1800.

(a(vi))[2]

Fill in the table.

(b)[3]

Finish the bar chart, making sure the frequency axis scale is shown.

(c)[2]

Calculate, in euros, how much more Mr Shah pays for the holiday than Mr Gibb.

Worked solution & mark scheme

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