Mathematics 4024 · O Level · Statistical charts and diagrams

Statistical charts and diagrams — practice question

The times recorded for $135$ runners as they completed a cross-country course are given in the table.
(a(i))[3]

Use the grid to draw a histogram that shows this information.

(a(ii))[3]

Calculate an estimated mean time.

(b(i))[1]

Calculate the probability that the two beads are both red.

(b(ii))[2]

Calculate the probability that the two beads are not the same colour.

(b(iii))[1]

What value does $R$ have?

(b(iv))[2]

Of the red beads, half have a yellow spot. Calculate the probability that neither of the two chosen beads has a yellow spot.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate histogram

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