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Frequency Tables, Bar Charts and Carroll Diagrams
Worksheet 1
A frequency table is a method of organizing raw data in a table by displaying a
series of outcomes in ascending or descending order, together with their tally and
frequencies—the number of times each score occurs in the respective data set.
Constructing frequency table with ungrouped data
First watch these two videos: https://www.youtube.com/watch?v=WUXHiqJGx5I
https://www.youtube.com/watch?v=mukk8Zaettg
2. Here are the colours of 40 cars in the school car park:
Red red blue green white red
Blue red red blue white green
Red white white blue red white
Blue blue green black white blue
Red silver silver blue red red
Silver white white red blue green
Red blue silver white
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(i) Copy and complete the tally chart below:
Colour of Car Tally Frequency
Red
Blue
Green
White
Silver
Black
(ii) What is the most popular colour? ____________________________
(iii) Which colour represents 25% of the total cars? _______________________
3. The information shown displays the colour of 30 counters in a bag. Complete the
tally chart.
Using the Frequency table answer these questions:
a) How many counters are Grey? ____________________
b) How many more Red counters than White counters are there? _______________
c) Which is the most popular colour? _______________________
Car Colour Tally Frequency (Total)
Green
Grey
Yellow
Red
Black
Blue
White
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Worksheet 2 Constructing bar charts with ungrouped data
https://www.youtube.com/watch?v=OZ0DQUjcC2g https://www.youtube.com/watch?v=LEXbMW-Amao
Complete the following bar charts:
Favourite Pet Snake Dog Fish Cat Bird
Frequency 5 7 10 4 3
Complete the bar chart below.
2.
dog fish cat bird Type of pet
snake 0
2
4
6
8
10
Freq
uen
cy
People’s favourite Pets
1)
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Favourite Sport football tennis netball hockey rugby
Frequency 20 16 15 18 10
Draw the bar chart on the grid below.
Favourite Subject English Maths PE French History
Frequency 9 13 8 2 10
Draw the bar chart on the grid below.
3)
4)
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Favourite Food Pizza Pasta Chips Curry Salad
Frequency 12 8 15 9 4
Draw the bar chart on the grid below.
5)
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Worksheet 3 Constructing frequency table with grouped data
https://www.youtube.com/watch?v=e_DQnzdU9KY
https://www.youtube.com/watch?v=vRk3yUOzJH8
1. The ages in years, of 40 people, are shown below.
43 24 33 26 35 15 27 34 19 20 42 49 34 56 37 19 21
50 39 29 57 30 28 26 18 20 34 3 33 10 1 27 12
11 7 25 37 9 54 59
Copy and complete the grouped tally chart (frequency table) for the given data.
Age (years) Tally Frequency
0-9
10-19
20-29
30-39
40-49
50-59
(i) What is the width of each class interval? ___________________________
(ii) How many people are less than 20 years old? ______________________
(iii) How many people are 40 years of age or older? _____________________
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Worksheet 4 Constructing bar charts with grouped data
https://www.youtube.com/watch?v=N_A8xyEbEhI
Work out:
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Worksheet 5 Carroll Diagrams
https://www.youtube.com/watch?v=C02Bd3-tM9k
Carroll diagrams take sorting data a step further, sorting objects or numbers into
four boxes. Each box has to follow two criteria. For example:
Sometimes, Carroll diagrams involve numbers.
How to fill in a Carroll Diagram?
Example, sort the numbers 8, 22, 18, 49 and 100 into the Carroll diagram:
1. Deal with one number at a time.
2. For example: look at the number 8.
3. Go through each of the criteria, in turns, to work out which box it should go in.
4. Then cross off number 8 from the list.
5. Next look at 22 and do the same, and so on.
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56
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1. Fill these numbers into the Carroll diagram, then add your own numbers.
7, 16, 21, 12, 25, 150, 76, 34, 2, 129, 27, 66, 240
Odd Not odd
Multiple of 3
Not a multiple of 3
2. Put the following numbers into the correct place:
54, 2, 19, 44, 24, 13, 4, 41, 16, 35, 36, 60.
Multiple of 4 Not Multiples of 4
More than 30
Not more than 30
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3. Put the following numbers into the correct place:
21, 99, 28, 66, 81, 36, 29, 18, 32, 42, 52, 17, 34, 91.
Multiples of 7 or 9 Not Multiples of 7 or 9
Less than 45
Not less than 45
4. Can you think of 4 numbers to go in each section?
Multiples of 2 Not Multiples of 2
Multiples of 5
Not Multiples of 5
5. Can you draw two shapes to go in each section?
Quadrilateral Not Quadrilateral
Has at least one line of
symmetry
Has no lines of symmetry
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Interpreting Carroll Diagrams
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Learning Outcomes
I can construct a frequency table with grouped and ungrouped discrete data.
I can construct a bar chart using grouped or ungrouped discrete data from a frequency table.
I can interpret data from frequency tables and bar charts.
I can complete and interpret a Carroll diagram.
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