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10.03 Tables and bar charts

Worksheet
Frequency tables
1

Mr. Westwood asked the students in his class to pick whether they prefer swimming or cycling. He displayed the results in the given two-way table:

a

How many boys picked swimming?

b

How many girls picked cycling?

c

Did boys prefer swimming or cycling?

BoysGirls
Swimming1114
Cycling711
2

Max asked his staff which mode of transport they took to work. He displayed his results in the given two-way table:

a

How many males caught the bus?

b

How many more females caught the train than the bus?

c

How many males did Max survey in total?

TrainBus
Males1217
Females199
3

Members of a gym were surveyed about what kind of training they do. Each responder only did one kind of training and the results are given in the following table:

a

Find the total number of gym members surveyed.

b

Find the number of members who do weight training.

c

Find the percentage of the gym members who do weight training.

CardioWeight
Male1226
Female4418
4

Mr. Tobit asked the students in his class to pick their favourite subject. He displayed the results in the given two-way table:

MathsMusicScienceEnglish
Boys1791215
Girls10161512
a

How many girls did not pick Maths as their favourite subject?

b

How many students picked Music?

c

Did boys prefer Music or Science?

5

Consider the running cost, in cents per kilometre, of different vehicle types outlined in the table provided:

a

What is the most expensive vehicle type to run?

b

How much would it cost to travel 100 \text{ km} in a small hatch?

c

How much would it cost to travel 100 \text{ km} in a large sedan?

d

How much cheaper is it to travel 100 \text{ km} in a 2WD ute compared to a 4WD ute?

Vehicle typeCost (cents/km)
\text{Small hatch}55.4
\text{Medium sedan}70.6
\text{Large sedan}86.5
\text{People mover}83.8
\text{SUV medium}71.5
\text{SUV large}80.7
\text{2WD ute}75.4
\text{4WD ute}84.8
Bar graphs and column graphs
6

The table shows the number of people who visited Disneyland between 2008 and 2012:

Use the table to create a column graph.

\text{Year}\text{Number of people}\\ \text{(hundred thousands)}
2008158
2009155
2010155
2011157
2012160
7

The table shows the house points earned by four different houses at their swimming carnival:

a

Construct a column graph for the data.

b

Which house earned the most points?

c

Which house earned as many points as the Yellow house and Blue house combined?

HousePoints
\text{Yellow}15
\text{Blue}25
\text{Red}40
\text{Green}60
8

The column graph illustrates the genres of movies on Alex's favourite streaming site:

a

How many movies in total are there on the site?

b

What percentage of the movies are comedy?

9

A survey of the preferred sport was done for a group of boys and the results are shown in the bar graph below:

a

How many boys prefer football?

b

Which is the most popular sport?

c

How many boys took part in the survey?

10

The sales of different products are shown in the following horizontal bar graph:

a

Which is the best-selling product?

b

How many units of all products were sold in total?

c

If Product B was sold at \$50 each, find the revenue generated by Product B alone.

11

Construct a two-way table for the following data:

a

Miss Merryweather recorded the hair type and colour of her students in the following graph:

b

Yuri surveyed a group of people about the type of jobs they had. He recorded the data in the following graph:

c

A survey was conducted about people's favourite movie genre. The results were plotted in the following graph:

12

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 two years?

13

The following horizontal bar chart shows the cost of 1 \text{ GB} of mobile data in selected countries:

a

Which country has the cheapest mobile internet data?

b

How much is the price of 1 \text{ GB} of mobile internet data in Australia?

c

How much would it cost for 17 \text{ GB} of data in the United Kingdom?

d

How many gigabytes of data could you get in India for the same price as 1 \text{ GB} of data in the Australia?

14

The table and bar chart below shows the travel method used by Sydney residents according to their age:

TransportNumber of trips (thousands)
\text{Vehicle driver}8310
\text{Vehicle passenger}3830
\text{Train}945
\text{Bus}1058
\text{Walk only}3076
\text{Other}385
a

Which mode of public transport is the most popular?

b

How many trips were covered in total by the survey?

c

What percentage of the total number of trips were made by walking? Give your answer as a percentage to one decimal place.

d

What percentage of the total number of trips used public transport? Give your answer as a percentage to one decimal place.

15

The following table shows the number of people in NSW, aged 15 years and older, who attended selected cultural events during the 2013/14 financial year:

Event typePopulation
\text{Art galleries}1540
\text{Museums}1559
\text{Zoos and aquariums}1909
\text{Botanic gardens}2079
\text{Libraries}1883
\text{Classical music concerts}548
\text{Popular music concerts}1951
\text{Theatre performances}890
\text{Dance performances}601
\text{Musicals and operas}862
\text{Cinemas}3821
\text{Total}17\,643

The table was then used to create a horizontal bar chart where each bar represents the percentage of the population that attended a particular event:

a

Which was the most popular cultural event?

b

How many cultural events were attended by less than 20\% of the population?

c

A NSW town funds the following six events:

  • The town library

  • The wildlife zoo

  • The royal botanical garden

  • The local art gallery

  • The annual theatre production

  • The science museum

A local mayor has decided to reduce funding to the two least popular events in the town. Which two events should she cut?

16

The horizontal bar graph below shows the number of crashes by type for NSW during 2017:

a

In which region did most accidents occur?

b

Which was the most common accident type in country areas?

c

Which accident types had over double the incidents on metropolitan roads compared to country roads?

d

State whether the following statements are true based on the bar graph provided:

i

There were more off path crashes (both on straight and curved roads) than rear end crashes.

ii

There were about the same number of metropolitan pedestrian crashes as, head on and on path crashes in any road.

iii

There were more rear end crashes on country roads than manoeuvring crashes.

17

The table and graph below show the average annual cost of comprehensive car insurance for NSW drivers:

ProfileCost
\text{Under } 25 \text{ years old, Male}\$2601
\text{Under } 25 \text{ years old, Female}\$2315
25 - 29 \text{ years old, Male}\$1202
25 - 29 \text{ years old, Female}\$1298
30 - 44 \text{ years old}\$1006
45+\text{ years old}\$868
a

Which age group pays the most for comprehensive car insurance?

b

How much more does a male under 25 pay than a female under 25?

c

How much would a 27 year old female expect to pay for comprehensive car insurance?

d

If insurance companies offer lower premiums to safer drivers, determine whether these statements can be supported by the data given:

i

Female drivers in the age range 25 - 29 are statistically safer drivers than men in this age range.

ii

An under 25 female driver is a statistically safer driver than a 25 - 29 male driver.

iii

Drivers are statistically safer the older they get.

iv

At any age, female drivers are statistically safer drivers than men.

Stacked bar charts
18

This stacked column chart shows the fitness levels for various categories of smokers:

a

Which category of smokers has the best level of fitness?

b

What percentage of Heavy smokers have a below average fitness level?

c

What percentage of Light smokers have a normal fitness level?

19

The following stacked bar chart shows different types of internet traffic on a website over a three-month period:

a

Find the total number of visits to the website in November. Round your answer to the nearest 100.

b

During October, how many visitors to the website were new visitors?

c

What proportion of traffic during October were returning visitors?

d

Approximately how many new visitors visited the website during November? Round your answer to the nearest 100.

20

The table and stacked bar chart below shows the travel method used by Sydney residents according to their age:

AgeCar (driver)Car (passenger)TrainBusWalkOtherTotal
0 - 10076.60.7417.31.4100
11 - 2012.842.79.117.814.92.7100
21 - 3047.312.610.47.419.72.6100
31 - 4059.67.86.34.219.92.2100
41 - 5069.67.342.614.32.2100
51 - 6065.79.44.23.215.81.7100
61 - 7058.913.53.43.918.71.6100
a

Which age group has the highest proportion of car travel as a passenger?

b

Which age group uses public transport (bus or train) the most?

c

What percentage of people aged 11 - 20 travel by public transport?

d

Which age group does the least amount of walking?

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Outcomes

MS11-2

represents information in symbolic, graphical and tabular form

MS11-7

develops and carries out simple statistical processes to answer questions posed

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