Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The table shows how long each of 120 students took to finish a cooking challenge.
(a(i))[1]

Write down the interval that has the highest frequency.

(a(ii))[1]

Write down the class interval that contains the median time.

(a(iii))[4]

Calculate an estimate for the mean time.

(a(iv))[1]

Find the probability that this student takes more than 40 minutes.

(b(i))[2]

Complete the table of cumulative frequencies.

(b(ii))[3]

On the grid, draw a cumulative frequency graph for this information.

(b(iii))[1]

Find the median of the times.

(b(iv))[2]

Find the interquartile range value.

(b(v))[2]

Find how many students took more than 37 minutes to complete the cooking challenge.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct modal interval $20 < t \le 25$

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