Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

A farmer picked $300$ eggs from his chickens in one day. The table gives the mass distribution of the eggs.
(a(i))[1]

A single egg is selected at random. Calculate the probability that this egg has a mass of no more than $48$ grams.

(a(ii))[2]

From the $300$ eggs, choose one egg at random. Then choose another egg at random from the eggs left behind. Calculate the probability that one egg has a mass of at most $46$ grams and the other has a mass of more than $58$ grams.

(b)[3]

Calculate an estimate for the mean mass of an egg.

(c(i))[1]

Fill in the cumulative frequency table.

(c(ii))[2]

On the grid, sketch a smooth cumulative frequency curve to show this data.

(d(i))[1]

Use your graph to find the median mass of the eggs.

(d(ii))[2]

Use your graph to find the interquartile range.

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