Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The frequency table gives data on the time, $m$ minutes, that each of 160 people spends in a library.
(a(i))[1]

Find the probability that a person selected at random spends more than 100 minutes in the library.

(a(ii))[4]

Calculate an estimate for the mean time spent in the library.

(b)[2]

Complete the table of cumulative frequencies.

(c)[3]

On the grid opposite, draw the cumulative frequency graph.

(d(i))[1]

Use your cumulative frequency diagram to determine the median.

(d(ii))[2]

Use your cumulative frequency diagram to determine the interquartile range.

(d(iii))[2]

Use your cumulative frequency diagram to determine the 90th percentile.

(d(iv))[2]

Use your cumulative frequency diagram to determine how many people spend more than 30 minutes in the library.

Worked solution & mark scheme

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