topic badge

7.04 Interpret other charts and 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.

14

The following charts show the demographics of worldwide movie pirates:

(Source: Motion Picture Association and LEK Consulting)

Use the graphs to describe a typical movie pirate.

15

The following charts describe the age demographics of people who download movies illegally:

a

Is the proportion of active downloaders in the 16-24 age group higher worldwide or higher in the US?

b

What age group is the proportion of worldwide downloaders most similar to the proportion of US downloaders?

Segmented bar charts
16

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?

17

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?

18

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?

19

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?

20

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.

21

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?

22

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?

23

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?

24

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.

25

The following graph shows a breakdown of the methods by which music was acquired in 2010 and 2011:

a

What percentage of unpaid acquired music in 2011 came through the following. Round your answer to the nearest whole percentage.

i

Peer-to-peer filesharing.

ii

Digital lockers.

iii

Online piracy.

iv

Offline swapping.

b

Did the majority of music acquired come from unpaid or paid sources?

c

Did the majority of unpaid music come through offline swapping or online piracy?

26

The given graph shows a breakdown of worldwide motion picture industry losses (in millions of dollars) in 2015:

(Source: Motion Picture Association and LEK Consulting)

a

What was the total piracy cost in 2015?

b

What percentage of the total worldwide piracy costs did US piracy costs make up? Round your answer to the nearest whole percentage.

c

What percentage of the total worldwide piracy costs did non-US hard goods piracy costs make up? Round your answer to the nearest whole percentage.

d

What percentage of the total worldwide piracy costs did worldwide illegal downloading make up? Round your answer to the nearest whole percentage.

e

What percentage of the total worldwide piracy costs did worldwide hard goods piracy make up? Round your answer to the nearest whole percentage.

27

Using the blood pressure chart provided, classify the following blood pressure readings as low blood pressure, ideal blood pressure, pre-high blood pressure, or high-blood pressure:

a

\dfrac{77}{65}

b

\dfrac{147}{78}

c

\dfrac{81}{49}

d

\dfrac{123}{79}

e

\dfrac{109}{45}

Other graphs
28

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.

29

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.

30

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.

31

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?

32

Consider the given graph which shows the heart rate of a person before, during, and after an exercise session in a 51 minute timeframe.

a

Describe what is happening to the heart rate between 0 \text{ - } 18 minutes.

b

What was the peak heart rate?

c

The desired heart rate range during exercise for this person is between 120 and 210 \text{ bpm}. For how many minutes was this athlete in range?

d

The exercise session was completed after 42 minutes. How long was the cool down period, the end of which the pulse returned to 60 \text{ bpm}?

6
12
18
24
30
36
42
48
\text{Time (mins)}
20
40
60
80
100
120
140
160
180
200
220
\text{bpm}
33

Consider the graph showing the normal blood pressure ranges for different aged people. Answer the following questions based on the graph:

a
i

What is the normal diastolic blood pressure range for the age group 30 to 34?

ii

What is the mean systolic blood pressure for this same age group?

b
i

What is the normal diastolic blood pressure range for the age group 55 to 59?

ii

What is the mean systolic blood pressure for this same age group?

c

Based on the graph, state whether the following statements are true or false:

i

At any age, the diastolic blood pressure is always lower than the systolic blood pressure.

ii

A 25 year old person will always have lower blood pressure than a 45 year old person.

iii

The mean diastolic blood pressure increases with age for every age group.

iv

The diastolic blood pressure range is larger in older age groups.

34

The blood pressure of a person involved in an accident was monitored from 11 o'clock in the morning, immediately after the accident occurred.

The following graph shows the systolic (higher value) and diastolic (lower value) blood pressures recorded every 5 minutes, connected by a line. Use the graph to answer the following questions:

a

Describe the trend of the systolic and diastolic values over time.

b

The normal blood pressure for this person is \dfrac{120}{80}. During the given time period does the person's blood pressure return to the normal range?

1100
1110
1120
1130
\text{Time}
50
60
70
80
90
100
110
120
\text{Blood Pressure (mm Hg)}
Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

1.4.1

interpret information presented in graphs, such as: conversion graphs, line graphs, step graphs, column graphs and picture graphs

1.4.3

discuss and interpret graphs found in the media and in factual texts

What is Mathspace

About Mathspace