Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The cumulative frequency diagram gives the masses, in grams, for 60 potatoes of variety A.
(a(i)(a))[1]

Use the diagram to estimate the interquartile range from the boxplot.

(a(i)(b))[2]

Use the diagram to estimate the interquartile range from the boxplot.

(a(ii))[3]

Potatoes with a mass greater than 220 g are sold as baking potatoes. Find the percentage of the potatoes that are sold as baking potatoes.

(a(iii))[1]

The masses of 60 potatoes from variety B are measured as well. For variety B, the median is 175 g and the interquartile range is 30 g. Kali wants to buy potatoes whose masses vary less. Should she choose variety A or variety B? Explain how you decide.

(b)[3]

Calculate an estimated mean mass.

(c)[3]

A bag of potatoes has a mass of $2.5$ kg, correct to the nearest 100 g. Bags of potatoes are packed into a box. The mass of the box is 600 g, correct to the nearest 10 g. Calculate the upper bound of the total mass, in kilograms, of a box containing 10 of these bags of potatoes.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct value between 188 and 189

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