Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The mass, measured in grams, of each of the $75$ oranges is recorded. The findings are set out in the table.
(a)[1]

One orange is selected at random. Find the probability that its mass is greater than $200\text{ g}$.

(b)[3]

Calculate an estimate for the mean mass.

(c)[3]

On the grid on the next page, draw a cumulative frequency diagram for the masses of the oranges.

(d)[1]

Use your graph to estimate the median.

(e)[2]

Oranges with mass above $T\text{ g}$ are called ‘Class A’. $20\%$ of the oranges are in ‘Class A’. Use your graph to find $T$.

(f)[1]

Oranges with mass of $178\text{ g}$ or less are used to make orange juice. Use your graph to estimate how many of these oranges there are.

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