Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The table below gives the time $t$ minutes that 400 people need in order to finish a test. Time intervals and frequencies: $0 < t \le 10$: 10 $10 < t \le 24$: 90 $24 < t \le 30$: 135 $30 < t \le 40$: 85 $40 < t \le 60$: 70 $60 < t \le 70$: 10
(a(i))[1]

Write down the modal time interval.

(a(ii))[4]

Calculate an estimate of the mean time taken to complete the test.

(b(i))[2]

Complete the table of cumulative frequencies.

(b(ii))[2]

On the grid opposite, draw a cumulative frequency diagram to represent this information.

(c(i))[1]

the median time taken.

(c(ii))[2]

the inter-quartile range.

(c(iii))[2]

the 15th percentile.

(c(iv))[2]

the number of people who took more than 50 minutes.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The modal interval is $24<t\le30$.” …

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