Mathematics 0580 · IGCSE
Cumulative frequency diagrams
38 practice questions on Cumulative frequency diagrams, with worked solutions and instant marking.
The table presents data on how long it took 400 people to finish a race.
Feb/March 2017
The frequency table gives data on the time, $m$ minutes, that each of 160 people spends in a library.
Feb/March 2018
The cumulative frequency graph provides data on the distances, measured in kilometres, travelled by 60 people.
May/June 2015
The cumulative frequency diagram gives the reaction times, measured in seconds, for 200 students.
May/June 2015
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
May/June 2015
The cumulative frequency diagram gives data on the trunk diameter, in metres, for 120 trees.
May/June 2016
The cumulative frequency diagram displays the results from 200 students who estimated the volume $V\,\text{m}^3$ of a classroom.
May/June 2016
The table records the time taken by each of 90 cars to finish one lap of a race track. Time (t seconds): 70 < t \leq 71, 71 < t \leq 72, 72 < t \leq 73, 73 < t \leq 74, 74 < t \leq 75 Frequency: 17, 24, 21, 18, 10
May/June 2017
200 students estimate the capacity, x millilitres, of a cup. The results are displayed in the frequency table.
May/June 2017
The cumulative frequency graph gives data on the time, $m$ minutes, that 120 students needed to finish some homework.
May/June 2018
The table shows how long each of 120 students took to finish a cooking challenge.
May/June 2018
One hundred and sixty students note down the amount of time, $t$ hours, that each of them spends playing computer games in a week. The cumulative frequency diagram displays this information.
May/June 2019
One hundred students each reported the amount of money, $m$, that they spent over one week. The frequency table gives the outcomes.
May/June 2019
Complete the cumulative frequency table given.
May/June 2021
The value of $t$ in minutes for each of 80 people travelling to work has been noted. The table gives the details of these times.
May/June 2022
A village has 160 residents. The cumulative frequency graph gives details of their ages.
May/June 2023
The table gives data on the heights of $80$ children.
May/June 2023
On the grid, construct the cumulative frequency diagram.
May/June 2023
The time for each of 200 students to finish a calculation is recorded, and the outcomes are displayed on a cumulative frequency diagram.
May/June 2024
A group of 100 students each solved a puzzle. The table gives the time each student needed to complete it.
May/June 2025
The table gives some details about the heights of 200 plants. Cumulative frequency data: $h \le 30: 6$, $h \le 40: 42$, $h \le 50: 76$, $h \le 60: 170$, $h \le 70: 190$, $h \le 80: 200$.
May/June 2025
The cumulative frequency graph presents the times, measured in minutes, that 80 students needed to finish a short test. The horizontal axis is labelled Time (minutes) from 0 to 10, while the vertical axis is Cumulative frequency up to 80.
Oct/Nov 2015
Leo recorded the rainfall each day, in millimetres, over 120 days. The cumulative frequency table displays the outcomes. The rainfall classes are $r \leq 20$, $r \leq 25$, $r \leq 35$, $r \leq 40$, $r \leq 60$, $r \leq 70$ with cumulative frequencies 5, 13, 72, 90, 117 and 120.
Oct/Nov 2015
200 students note the time, $t$ minutes, taken for their trip from home to school. The cumulative frequency diagram presents the results.
Oct/Nov 2016
Two hundred people each run 10 km. The table gives some details of the times, $t$ minutes, used to complete the 10 km.
Oct/Nov 2016
The cumulative frequency graph gives details of the prices of 100 cars listed on Website A.
Oct/Nov 2016
Simon measures the heights, $h$ cm, of 200 sunflowers in his garden, and this information is displayed on the cumulative frequency diagram.
Oct/Nov 2017
The time, $t$ minutes, taken by each of the $80$ students to finish their homework is recorded. The cumulative frequency diagram displays the outcomes. The axes are labelled Time (minutes) on the horizontal axis and Cumulative frequency on the vertical axis.
Oct/Nov 2018
A school nurse notes the height, $h$ cm, of each of the 180 children. The information is displayed in the table.
Oct/Nov 2018
Use the cumulative frequency diagram to estimate the median.
Oct/Nov 2019
The cumulative frequency diagram presents information about the time taken, $t$ seconds, for each girl in a group to solve a maths problem.
Oct/Nov 2019
The cumulative frequency diagram gives data on the distance, $d$ km, covered by each of 60 male cyclists over one weekend.
Oct/Nov 2019
The box-and-whisker plots display the amounts of time a group of women and a group of men spent exercising in one week.
Oct/Nov 2020
The height, $h$ cm, of each of 120 plants is recorded, and the cumulative frequency diagram displays the data.
Oct/Nov 2020
The cumulative frequency diagram gives data on the mass, $m$ kg, for each of 80 boys.
Oct/Nov 2021
The table gives details of the mass of each of 50 children.
Oct/Nov 2022
Each of the 100 students records the time, $t$ minutes, needed to eat a pizza. The cumulative frequency diagram shows the results.
Oct/Nov 2022
Use the cumulative frequency diagram to estimate the median.
Oct/Nov 2024