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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
57
616
719
825

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
014
123
230
348
461

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
Check

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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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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.

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