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6.04 Pie charts, bar charts and stacked area graphs

Worksheet
Pie charts
1

For a pie chart, what angle size would represent 10 out of 24 people in a particular category? Round your answer to the nearest degree.

2

A florist counted his roses and found the percentage of each colour in his store. This is displayed in the following pie chart:

a

Which coloured rose is most common?

b

If there are 200 roses altogether, how many are orange?

3

Students were asked to name their favourite subject at school. Their answers are displayed in the pie chart:

a

Which of the following subjects is more popular, English or Math?

b

Which subject is most popular in the school?

c

What fraction do the students that prefer English represent?

4

The following pie chart represents the results of grade 11 class president elections for the year 2020.

a

Who won the elections?

b

What is the percentage of the votes obtained by Jess ?

5

The sector graph represents the market share of four brands:

a

Given that Brand C is twice as popular as Brand A, find the angle at the centre for Brand C.

b

What angle should all the angles at the centre of the circle add up to?

c

Find the angle at the centre for Brand D.

6

A technology company wishes to see what MP3 players people are using. They took a small sample and found the following:

  • Apple: 156

  • Sandisk: 19

  • Samsung: 32

  • Other: 74

a

Arrange the MP3 players from most popular to least popular.

b

Arranged the sectors of the graph from largest to smallest.

c

Hence, identify the sector that represents each brand:

i

Apple

ii

Sandisk

iii

Samsung

iv

Other

7

The sector graph shows the results of testing a new medication on 1080 patients:

a

Find the number of patients that showed improvement after using the medication.

b

Find the number of patients that showed some change after using the medication.

c

Find the percentage of patients that deteriorated after using the medication.

8

The following pie chart represents government spending:

a

What percentage is spent on Education?

b

What percentage is spent on Healthcare?

c

What percentage is spent on Roads and Transport?

d

What percentage is spent on Defense?

9

Neil surveyed the people in his class to see what type of computer they owned. The results are given in the form of a pie chart (assume nobody owns more than one computer).

a

What fraction of students owned an IBM?

b

What percentage of the class owns either IBMs or Macs?

c

If three people own Dells, how many people are there in the class?

10

The sector graph represents the number of people taking leave from work at a particular company:

a

If 25 people took leave in January, how many degrees represents 1 person?

b

How many people took leave in November?

c

How many people took leave between the beginning of November and the end of March?

d

What percentage took leave in December? Round your answer to two decimal places.

11

A survey of 100 people was taken to find which type of movie they prefer. The following pie chart displays the data collected:

a

Which type of movie is more popular, Sci-fi or Romance?

b

What movie genre is most popular?

c

Which fraction of people like Romance movies?

12

The number of songs on Maria's iPod are sorted by genre and displayed in the given table:

GenreNumber of Songs
\text{Rock}50
\text{Pop}40
\text{Soundtracks}20
\text{RnB}70
a

Find the total number of songs on Maria's iPod.

b

Calculate the fraction of the number of songs for each genre:

i

Rock

ii

Pop

iii

Soundtracks

iv

RnB

c

The data is to be displayed on a pie chart. Find the angle of the sector for each genre.

i

Rock

ii

Pop

iii

Soundtracks

iv

RnB

d

Construct a pie chart for this data.

13

The table below shows how many of the world’s largest banks are in each country:

Number of BanksSector Angle
France\qquad \quad \enspace 4
Germany\qquad \quad \enspace 3
Japan\qquad \quad \enspace 2
United Kingdom\qquad \quad \enspace 6
United States of America\qquad \quad \enspace 9
a

So that the data can be displayed in a pie chart, complete the table by finding the angle for each country's sector.

b

Construct a pie chart to represent the information in the table.

Segmented bar charts
14

Georgia's weekly spending is to be represented as a divided bar graph that is 16\text{ cm} long:

If she spends \$880 per week, how much does each centimetre of the divided bar graph represent?

15

The divided bar graph below shows the popularity of certain types of restaurants in Valentina's home town:

a

Which type of restaurant is the most popular?

b

Do more people go to French restaurants or to Thai restaurants?

c

Which two restaurants are visited by the same number of people?

d

If 24 people went to an Indian restaurant, approximately how many went to a Mexican restaurant?

16

A group of people were asked which sport they watch most often. The 34\text{ cm} divided bar graph represents their responses, where each centimetre represents 6 people:

a

If the section for Cricket is 4\text{ cm} long, how many people chose Cricket?

b

What was the total number of responses?

c

If the section representing Basketball is 10\text{ cm} long, what is the fraction of people who chose Basketball?

d

If 34 people chose Tennis, what percentage favour Tennis? Round your answer to two decimal places.

e

Amongst those surveyed, what was the second most popular sport?

17

The local library constructed divided bar graphs showing the last six months of book loans by category. Assume that the total number of loans was exactly the same for each month.

a

In which month did subscribers borrow the most business books?

b

Which month was the best month for children's books?

c

In which month did people borrow the same number of design books as environment books?

d

Which book category grew constantly during the 6 months?

e

During which month did people borrow more fiction books than environmental books?

f

During which months did people borrow the same total number of fiction books?

18

The divided bar graph shows the percentage of total subscriptions that each newspaper has. The Age has 54\,000 subscriptions:

a

What is 1\% of total subscriptions?

b

Find the total number of subscriptions.

19

A survey was conducted asking students from Years 5, 6, 7 and 8 what eye colour they have. The results are shown below using divided bar graphs:

a

Which year has the largest percentage of brown-eyed children?

b

Which year has the largest percentage of blue-eyed children?

c

Which year has the smallest percentage of hazel-eyed children?

d

Which year has no green-eyed children?

e

Which year has the same percentage of green-eyed children as blue-eyed children?

20

The divided bar graph shows the percentage of responders in each category when asked why they dislike their job:

a

What percentage of responders dislike the long hours?

b

If the bar is 23 centimetres long, what length represents "long work hours"? Give your answer to one decimal place.

c

If 690 people were interviewed in total, how many people dislike their coworkers?

21

The divided bar graph shows a company’s major expenses:

a

What percentage of expenses go to marketing?

b

What percentage of expenses goes to research and production?

22

The divided bar graph shows the population of indigenous and non-indigenous children aged between 0 and 4:

a

Find the number of non-indigenous children aged between 0 and 4.

b

Find the number of indigenous children aged between 0 and 4.

c

Find the total number of children aged between 0 and 4.

d

What percentage of children aged between 0 and 4 are indigenous?

e

What percentage of children aged between 0 and 4 are non-indigenous?

f

If the bar is 45 centimetres long in total, find the length of the the section representing non-indigenous children.

Stacked area graphs
23

The revenue generated from a company's three major products is shown in the following stacked area chart:

a

Find the revenue generated by Product C in the first month.

b

Find the maximum revenue generated by Product A.

c

Determine the difference between the revenue generated in month 4 and the revenue generated in month 5 by Product B.

d

Calculate the total revenue generated by Product C during the 7 months.

e

By how much did the revenue generated by Product C exceed that of Product A in the 7th month?

24

The revenue generated from a company's three major products are shown in the following table. Construct a stacked area graph that represents the data.

\text{Month}\text{Product A }(\$000)\text{Product B }(\$000)\text{Product C }(\$000)
\text{January} \qquad \quad \enspace12 \qquad \quad \enspace25 \qquad \quad \enspace12
\text{February} \qquad \quad \enspace20 \qquad \quad \enspace30 \qquad \quad \enspace18
\text{March} \qquad \quad \enspace18 \qquad \quad \enspace28 \qquad \quad \enspace29
\text{April} \qquad \quad \enspace16 \qquad \quad \enspace34 \qquad \quad \enspace10
\text{May} \qquad \quad \enspace22 \qquad \quad \enspace37 \qquad \quad \enspace15
\text{June} \qquad \quad \enspace11 \qquad \quad \enspace35 \qquad \quad \enspace26
\text{July} \qquad \quad \enspace13 \qquad \quad \enspace31 \qquad \quad \enspace17
\text{August} \qquad \quad \enspace17 \qquad \quad \enspace29 \qquad \quad \enspace13
\text{September} \qquad \quad \enspace20 \qquad \quad \enspace27 \qquad \quad \enspace19
\text{October} \qquad \quad \enspace19 \qquad \quad \enspace30 \qquad \quad \enspace24
\text{November} \qquad \quad \enspace16 \qquad \quad \enspace26 \qquad \quad \enspace20
\text{December} \qquad \quad \enspace16 \qquad \quad \enspace34 \qquad \quad \enspace28
Other graphs
25

The grouped bar chart shows customer satisfaction ratings for different makes of cars, broken down by gender. The top row for each make represents males; the bottom row, females.

Determine whether the following statements are true or false:

a

Honda received the highest ratings.

b

Ford received the lowest ratings among Males.

c

Both genders agree on the rank order in which the cars are rated.

d

As a group, the women seem to be tougher raters; they gave lower ratings to each car than the men gave.

e

Females preferred the cars that were red.

26

The following bar graph shows the changes in tourism rates in different cities during 2011 and 2012:

a

What is the difference between Shanghai's percentage of tourism over the two years?

b

Which cities had the greatest difference in percentages of tourism over 2011 and 2012?

c

Which city had the smallest difference in minimum and maximum percentages of tourism over 2011 and 2012?

d

What is the difference between the minimum and maximum percentages of tourism of all the cities in the graph over the 2 years.

27

Consider the following graphs:

a

Which axis measures the precipitation (rainfall), vertical or horizontal axis?

b

Which axis measures the temperature?

c

Which city has higher average temperature?

d

Which city has the higher average rainfall?

e

Determine whether the following statements are true or false:

i

The higher the average temperature in a city, the higher the average rainfall.

ii

The average minimum temperature rises with the average maximum temperature.

28

The following bar graph shows the changes in tourism rates in different cities during 2011 and 2012:

a

Which city had the highest percentage of tourism in 2011?

b

Which city had the lowest percentage of tourism in 2012?

c

Which city had the highest percentage tourism in a single year?

d

Which city/cities had the lowest percentage tourism in a single year?

e

How much higher is Paris's percentage of tourism in 2011 than that of London in 2012?

f

Paris' maximum percentage of tourism over the two years is higher than Istanbul's maximum by how many percent?

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Outcomes

1.3.1.1

interpret information presented in graphs, such as step graphs, column graphs, pie graphs, picture graphs, conversion graphs of calories ↔ kilojoules, line graphs using units of energy to describe consumption of electricity, including kilowatt hours

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