Mathematics 4024 · O Level

Cumulative frequency diagrams

29 practice questions on Cumulative frequency diagrams, with worked solutions and instant marking.

The finishing times for $200$ runners in a $5$ km race were recorded, and the data are shown in the cumulative frequency diagram.

May/June 2015

A farmer picked $300$ eggs from his chickens in one day. The table gives the mass distribution of the eggs.

May/June 2015

A sample of 100 electric light bulbs from Brand A was tested to measure the lifetime of each bulb. The findings are summarised in the table below.

May/June 2016

Garage A notes how much petrol was bought by the first 120 customers in one day.

May/June 2016

Information on running-time data is provided.

May/June 2017

The masses of $200$ beetles were recorded. The findings are shown in a cumulative frequency table, and a section of the cumulative frequency curve has been drawn.

May/June 2018

The table gives the distances, $d$ m, of the javelin throws made by $80$ women.

May/June 2019

The mass, measured in grams, of each of the $75$ oranges is recorded. The findings are set out in the table.

May/June 2019

The cumulative frequency graph displays the marks scored by 80 students in a Maths test.

May/June 2021

The table lists the time, $t$ seconds, needed by each student to finish a puzzle. A different group, made up of adults, also completed the puzzle. Their times are represented on a cumulative frequency diagram.

May/June 2022

The cumulative frequency graph indicates the amount of fuel, $f$ litres, purchased by 100 customers at a service station on one day.

May/June 2023

This table gives the length of time that each of $60$ children spends in the play area.

May/June 2024

On one day, a group of 80 people each note how long the trip from home to work takes. The cumulative frequency diagram displays the results.

May/June 2025

The cumulative frequency diagram shows the marks obtained by $80$ students in an exam.

May/June 2025

The cumulative frequency graph for the lengths of the $50$ tracks on Abi's MP3 player is displayed.

Oct/Nov 2015

The cumulative-frequency graph contains data on the reaction times of $60$ people.

Oct/Nov 2016

Six hundred candidates sat a mathematics examination made up of two papers. Each paper was marked out of 100. The diagram presents the cumulative frequency curves for Paper 1 and Paper 2 on the same grid.

Oct/Nov 2016

A company carried out a survey asking staff how long they spent travelling to work on one day. The table below summarises the times for 120 employees.

Oct/Nov 2017

Lim cultivates tomatoes. The masses, $m$ grams, of $200$ of her tomatoes are measured. The cumulative frequency table gives the data.

Oct/Nov 2018

Measurements were taken for 120 cereal packets, and the outcomes are shown in the cumulative frequency diagram.

Oct/Nov 2019

The temperatures, in $^\circ\text{C}$, of $120$ people were recorded. The findings are shown on the cumulative frequency diagram.

Oct/Nov 2019

The cumulative frequency diagram gives the masses, in grams, for 60 potatoes of variety A.

Oct/Nov 2020

Problems involving grouped data and frequency tables.

Oct/Nov 2020

The cumulative frequency diagram gives the masses, $m$ grams, of $120$ eggs.

Oct/Nov 2021

Marco cultivates two kinds of tomato plant, type A and type B. He records how many tomatoes are on each tomato plant. The table shows the findings for type A plants.

Oct/Nov 2022

The heights of $80$ plants are recorded. The table gives the results.

Oct/Nov 2023

A total of 50 adults each sit a quiz. The cumulative frequency diagram plots their scores.

Oct/Nov 2024

Lin has recorded the masses, in grams, of $60$ onions. Her results are displayed on the cumulative frequency diagram.

Oct/Nov 2024

The cumulative frequency graph gives data about journey times.

Oct/Nov 2025