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Cumulative Frequency

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

Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Statistics

This is level 4; find averages from tables of grouped data.

The following table shows the distribution of the lengths of some snakes.

Length (L)
in centimetres
Cumulative
Frequency
Working
0 < L ≤ 505
50 < L ≤ 10012
100 < L ≤ 15015
150 < L ≤ 20019
200 < L ≤ 25025

What is the greatest possible range of the lengths of the snakes in centimetres?
Correct Wrong
How many snakes are between 1.5m and 2.5m in length? Correct Wrong
What is the mid-point snake length in centimetres of the modal group? Correct Wrong
Calculate an estimate of the mean snake length correct to the nearest centimetre. Correct Wrong
The following table shows the distribution of the weights of a group of gorillas.

Weight (W)
in kilograms
Cumulative
Frequency
Working
60 < L ≤ 704
70 < L ≤ 8010
80 < L ≤ 9015
90 < L ≤ 10025
100 < L ≤ 11031
110 < L ≤ 12038

What is the greatest possible range of the weights of the gorillas in kilograms?
Correct Wrong
How many gorillas weigh 80kg or less? Correct Wrong
What is the mid-point gorilla weight in kilograms of the modal group? Correct Wrong
Calculate an estimate of the mean gorilla weight correct to the nearest centimetre. Correct Wrong
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This is Cumulative Frequency level 4. You can also try:
Level 1 Level 2 Level 3

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.

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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

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

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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