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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.