# Cumulative Frequency

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

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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 ≤ 502
50 < L ≤ 1009
100 < L ≤ 15014
150 < L ≤ 20018
200 < L ≤ 25023

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

Weight (W)
in kilograms
Cumulative
Frequency
Working
60 < L ≤ 708
70 < L ≤ 8013
80 < L ≤ 9017
90 < L ≤ 10030
100 < L ≤ 11035
110 < L ≤ 12043

What is the greatest possible range of the weights of the gorillas in kilograms?
How many gorillas weigh 80kg or less?
What is the mid-point gorilla weight in kilograms of the modal group?
Calculate an estimate of the mean gorilla weight correct to the nearest kilogram.
Check

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

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.

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## Example

This video is from Maths4Everyone.

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