FREQUENCY TABLES, BAR CHARTS AND CARROLL DIAGRAMS WORKSHEET

Kỹ Thuật - Công Nghệ - Công Nghệ Thông Tin, it, phầm mềm, website, web, mobile app, trí tuệ nhân tạo, blockchain, AI, machine learning - Công nghệ thông tin P a g e 1 17 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.comwatch?v=WUXHiqJGx5I https:www.youtube.comwatch?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 P a g e 2 17 (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 P a g e 3 17 Worksheet 2 Constructing bar charts with ungrouped data https:www.youtube.comwatch?v=OZ0DQUjcC2g https:www.youtube.comwatch?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 snake0 2 4 6 8 10 Frequency People’s favourite Pets 1) P a g e 4 17 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) P a g e 5 17 Favourite Food Pizza Pasta Chips Curry Salad Frequency 12 8 15 9 4 Draw the bar chart on the grid below. 5) P a g e 6 17 Worksheet 3 Constructing frequency table with grouped data https:www.youtube.comwatch?v=eDQnzdU9KY https:www.youtube.comwatch?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 ...

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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 blue silver white

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(i) Copy and complete the tally chart below:

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? _

Green Grey Yellow Red Black Blue White

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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

Complete the bar chart below

2

dog fish cat bird

Type of pet snake

0

2

4

6

8

10

People’s favourite Pets

1)

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Favourite Sport football tennis netball hockey rugby

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

Draw the bar chart on the grid below

5)

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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

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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https://www.youtube.com/watch?v=N_A8xyEbEhI

Work out:

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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

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