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Cumulative Frequency

Online exercises on cumulative frequency for discrete and grouped data with exam-style questions.

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This is level 3; find averages from tables of discrete data.

The following table shows the number of hours, to the nearest hour, that flights would take from a particular airport to their destinations.

Number
of hours
Cumulative
Frequency
Working
43
58
617
719
821

What is the range of the number of hours as shown in the table?
Correct Wrong
What is the mean number of hours to the nearest hour? You can use the third column for your working. Correct Wrong
What is the mode number of hours? Correct Wrong
What is the median number of hours? Correct Wrong
The following table shows the number of goals scored in football matches played in the West Midlands.

Number
of goals
Cumulative
Frequency
Working
07
117
227
344
458

What is the range of the number of goals?
Correct Wrong
What is the mean number of goals to the nearest integer? You can use the third column for your working. Correct Wrong
What is the mode number of goals? Correct Wrong
What is the median number of goals? Correct Wrong
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This is Cumulative Frequency level 3. You can also try:
Level 1 Level 2 Level 4

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales:

"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

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Description of Levels

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Level 1 - Complete the cumulative frequency column of a table

Level 2 - Complete the frequency column of a table given the cumulative frequency

Level 3 - Find averages from tables of discrete data

Level 4 - Find averages from tables of grouped data

Cumulative Frequency Graph recreate the table of values from the graph.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on statistics including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

This video is from Maths4Everyone.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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