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:
How many boys picked swimming?
How many girls picked cycling?
Did boys prefer swimming or cycling?
| Boys | Girls | |
|---|---|---|
| Swimming | 11 | 14 |
| Cycling | 7 | 11 |
Max asked his staff which mode of transport they took to work. He displayed his results in the given two-way table:
How many males caught the bus?
How many more females caught the train than the bus?
How many males did Max survey in total?
| Train | Bus | |
|---|---|---|
| Males | 12 | 17 |
| Females | 19 | 9 |
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:
Find the total number of gym members surveyed.
Find the number of members who do weight training.
Find the percentage of the gym members who do weight training.
| Cardio | Weight | |
|---|---|---|
| Male | 12 | 26 |
| Female | 44 | 18 |
Mr. Tobit asked the students in his class to pick their favourite subject. He displayed the results in the given two-way table:
| Maths | Music | Science | English | |
|---|---|---|---|---|
| Boys | 17 | 9 | 12 | 15 |
| Girls | 10 | 16 | 15 | 12 |
How many girls did not pick Maths as their favourite subject?
How many students picked Music?
Did boys prefer Music or Science?
Consider the running cost, in cents per kilometre, of different vehicle types outlined in the table provided:
What is the most expensive vehicle type to run?
How much would it cost to travel 100 \text{ km} in a small hatch?
How much would it cost to travel 100 \text{ km} in a large sedan?
How much cheaper is it to travel 100 \text{ km} in a 2WD ute compared to a 4WD ute?
| Vehicle type | Cost (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 |
The sales of different products are shown in the following horizontal bar graph:
Which is the best-selling product?
How many units of all products were sold in total?
If Product B was sold at \$50 each, find the revenue generated by Product B alone.
Construct a two-way table for the following data:
Miss Merryweather recorded the hair type and colour of her students in the following graph:
Yuri surveyed a group of people about the type of jobs they had. He recorded the data in the following graph:
A survey was conducted about people's favourite movie genre. The results were plotted in the following graph:
The following bar graph shows the changes in tourism rates in different cities during 2011 and 2012:
What is the difference between Shanghai's percentage of tourism over the two years?
Which cities had the greatest difference in percentages of tourism over 2011 and 2012?
Which city had the smallest difference in minimum and maximum percentages of tourism over 2011 and 2012?
What is the difference between the minimum and maximum percentages of tourism of all the cities in the graph over the two years?
The following horizontal bar chart shows the cost of 1 \text{ GB} of mobile data in selected countries:
Which country has the cheapest mobile internet data?
How much is the price of 1 \text{ GB} of mobile internet data in Australia?
How much would it cost for 17 \text{ GB} of data in the United Kingdom?
How many gigabytes of data could you get in India for the same price as 1 \text{ GB} of data in the Australia?
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 type | Population |
|---|---|
| \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:
Which was the most popular cultural event?
How many cultural events were attended by less than 20\% of the population?
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?
The horizontal bar graph below shows the number of crashes by type for NSW during 2017:
In which region did most accidents occur?
Which was the most common accident type in country areas?
Which accident types had over double the incidents on metropolitan roads compared to country roads?
State whether the following statements are true based on the bar graph provided:
There were more off path crashes (both on straight and curved roads) than rear end crashes.
There were about the same number of metropolitan pedestrian crashes as, head on and on path crashes in any road.
There were more rear end crashes on country roads than manoeuvring crashes.
This stacked column chart shows the fitness levels for various categories of smokers:
Which category of smokers has the best level of fitness?
What percentage of Heavy smokers have a below average fitness level?
What percentage of Light smokers have a normal fitness level?
The following stacked bar chart shows different types of internet traffic on a website over a three-month period:
Find the total number of visits to the website in November. Round your answer to the nearest 100.
During October, how many visitors to the website were new visitors?
What proportion of traffic during October were returning visitors?
Approximately how many new visitors visited the website during November? Round your answer to the nearest 100.
The table and stacked bar chart below shows the travel method used by Sydney residents according to their age:
| Age | Car (driver) | Car (passenger) | Train | Bus | Walk | Other | Total |
|---|---|---|---|---|---|---|---|
| 0 - 10 | 0 | 76.6 | 0.7 | 4 | 17.3 | 1.4 | 100 |
| 11 - 20 | 12.8 | 42.7 | 9.1 | 17.8 | 14.9 | 2.7 | 100 |
| 21 - 30 | 47.3 | 12.6 | 10.4 | 7.4 | 19.7 | 2.6 | 100 |
| 31 - 40 | 59.6 | 7.8 | 6.3 | 4.2 | 19.9 | 2.2 | 100 |
| 41 - 50 | 69.6 | 7.3 | 4 | 2.6 | 14.3 | 2.2 | 100 |
| 51 - 60 | 65.7 | 9.4 | 4.2 | 3.2 | 15.8 | 1.7 | 100 |
| 61 - 70 | 58.9 | 13.5 | 3.4 | 3.9 | 18.7 | 1.6 | 100 |
Which age group has the highest proportion of car travel as a passenger?
Which age group uses public transport (bus or train) the most?
What percentage of people aged 11 - 20 travel by public transport?
Which age group does the least amount of walking?
170 people were surveyed about their music preference. The results have been recorded in the table below:
| Music Preference | Male | Female | Total |
|---|---|---|---|
| \text{Rock and Roll} | 24 | 19 | 43 |
| \text{Classical} | 8 | 15 | 23 |
| \text{Pop} | 17 | 17 | 34 |
| \text{Rap} | 6 | 2 | 8 |
| \text{Country and Western} | 17 | 24 | 41 |
| \text{R and B} | 6 | 9 | 15 |
| \text{Punk} | 4 | 2 | 6 |
| \text{Total} | 82 | 88 | 170 |
What is the explanatory variable in this data set?
Which of the following 100\% stacked column charts should be used to look for an association between the variables?
Does this stacked column chart suggest that there is an association between music preference and gender?
A group of year 12 students surveyed their class and recorded the hair colour and eye colour for each student. The results are displayed in the 100\% stacked column chart shown:
What is the explanatory variable for this chart?
Does the chart suggest an association between eye colour and hair colour?
Can we say that having blue eyes causes a high chance of having blonde hair?
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.
In which month did subscribers borrow the most business books?
Which month was the best month for children's books?
Which variable is the response variable?
Does the divided bar graph suggest that there is an association between the variables?
The following table shows the results of a survey on smoking:
| Smokers | Non-smokers | |
|---|---|---|
| Men | 37 | 69 |
| Women | 51 | 123 |
How many of the people surveyed were smokers?
What percentage of women were non-smokers? Round your answer to the nearest percent.
What percentage of non-smokers were women? Round your answer to the nearest percent.
Which variable is the explanatory variable, smoking status or gender?
To determine if there is an association between the variables is it best to use a row or column percentage frequency table?
Create this percentage frequency table. Round your answers to the nearest percentage.
Create a 100\% stacked-bar chart for this percentage frequency table.
Does the 100\% stacked-bar chart indicate an association between the variables? Explain your answer.
A group of people were asked if they are employed and if they have a smartphone. The results are shown in the following table:
| Employed | Unemployed | Total | |
|---|---|---|---|
| Owns a smartphone | 34 | 18 | 52 |
| Does not own a smartphone | 71 | 87 | 159 |
| Total | 106 | 105 | 211 |
Which variable is the explanatory variable, employment or smartphone ownership?
To examine if there is an association between employment and smartphone ownership, should we use a column or row percentage frequency table?
Create this percentage frequency. Round your answers to the nearest percentage.
Does there appear to be an association between employment and owning a smartphone? Explain your answer.
Does a person’s employment status cause them to own a smartphone? Explain your answer.
Create a 100\% stacked-bar chart for your percentage frequency table.
Does the 100\% stacked-bar chart indicate an association between the variables? Explain your answer.
118 people were surveyed about their age and how many hours they watch television each week. The results are shown in the following table:
| 10\text{ years }\\ \text{and under} | 11\text{ to }20 \text{ years } | 21\text{ to }30 \text{ years } | 31 \text{ years }\\ \text{or older} | \text{Total} | |
|---|---|---|---|---|---|
| \text{Less than }3\text{ hours} | 9 | 8 | 2 | 5 | 24 |
| 4\text{ to }8 \text{ hours} | 2 | 10 | 2 | 9 | 23 |
| 9\text{ to }15 \text{ hours} | 7 | 8 | 8 | 10 | 33 |
| \text{Over }15 \text{ hours} | 10 | 9 | 9 | 10 | 38 |
| \text{Total} | 28 | 35 | 21 | 34 | 118 |
Which variable is the explanatory variable, age or time spent watching TV?
To examine if there is an association between age and time spent watching TV, should we use a column or row percentage frequency table?
Create this percentage frequency table. Round your answers to two decimal places.
Create a 100\% stacked-bar chart for this percentage frequency table.
Does the 100\% stacked-bar chart indicate an association between the variables? Explain your answer.