Mathew is captain of the drama club and keeps a record of the number of students in the club at the end of each week.
If no students have left the club, how many joined in Week 3?
- 3
- 8
- 11
- 33
Displaying Data, SM-Bank 016
The goals scored by 4 players in a season of soccer were recorded in the graph below.
Simon scored 6 goals in the season.
Gigi scored 3 goals.
How many more goals did Henry score than Fiona? (2 marks)
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Displaying Data, SM-Bank 015
The picture graph shows how many tonnes of concrete are needed for 4 jobs.
How many more tonnes of concrete does Job 1 need than Job 3? (2 marks)
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Displaying Data, SM-Bank 014 MC
The bottles in Leisa's fridge are pictured below.
Leisa decides to make a graph where each bar represents one type of bottle in her fridge.
Leisa makes an error when creating the graph.
What should Leisa do to correct the error?
- Change the 'Number of bottles' label to 'Volume of bottles'.
- Change the title to 'Number of bottles in the fridge by volume'.
- The thickness of each bar should vary, depending on the number of bottles.
- Remove the 'Water' category since tonic water and soda water are already shown.
Displaying Data, SM-Bank 013 MC
Patrick counts the number of moths he has collected.
- 9 Bogon moths
- 3 Atlas moths
- 6 Gypsy moths
In each picture graph below, 
= 3 moths
Select the picture graph that shows the number of moths Patrick counts.
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Displaying Data, SM-Bank 012 MC
During picking season, four groups of people were hired to pick apples.
A group will receive a bonus if they pick more than 24 apples per person in a 10-minute period.
The table below shows the total amount of apples picked by each group in the first 10 minutes.
Which group would have received a bonus in the first 10-minute period?
- Group A
- Group B
- Group C
- Group D
Displaying Data, SM-Bank 011 MC
Chris did a survey of the number of female toilets in four shopping centres.
The results were recorded in the table below but the key has been left off the graph?
The total number of female toilets was 44.
| How many toilets does |  |
represent in the graph? |
- 1
- 2
- 4
- 5
Displaying Data, SM-Bank 010 MC
Each bar on this graph shows the population of a country and the population of its capital city.
The white section is the population that lives in the capital city.
The black section is the population that lives outside the capital city.
Which of the following countries has the highest percentage of its population living in its capital city?
- Australia
- Belgium
- France
- England
Displaying Data, SM-Bank 009
Angus asked all the students in his primary school how far away they lived from school.
He used the results to create the column graph below but left off some labels.
Angus' primary school has 100 students.
How many students lived over 8 km from school? (2 marks)
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Displaying Data, SM-Bank 008
Two fishing boats record the number of tuna they catch on four fishing trips.
How many more tuna did Boat 2 catch than Boat 1 in total over the four trips. (2 marks)
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Displaying Data, SM-Bank 007 MC
Students at a high school were surveyed to find whether they did exercise before school.
The graph below shows the results.
There were 150 17-year-old students at the high school.
How many 17-year-old students responded 'Every Day'?
- 14
- 30
- 45
- 60
Displaying Data, SM-Bank 006 MC
This graph shows a company's profit over a four year period.
Which conclusion can be reached from the graph?
- The profit in Year 2 was double of the profit in Year 1.
- The profits were greater than $20 000 in the period between Year 1 and Year 4.
- The profit in Year 4 was one quarter the profit in Year 3.
- The profits were positive in Years 2 and 3, and negative in Years 1 and 4.
Displaying Data, SM-Bank 005
Displaying Data, SM-Bank 004 MC
Displaying Data, SM-Bank 003 MC
The graph shows the origin and type of all vehicles in a city.
Which statement is most accurate based on the graph?
- There are more utility vehicles than trucks and vans.
- Utility vehicles are the most common type of vehicles
- There are more Australian vehicles than European vehicles.
- There are more Asian vehicles than European vehicles.
Displaying Data, SM-Bank 002 MC
Clive and Alvin asked their friends how many books they had read in the past month.
Clive draws a picture graph to show the results for his friends.
Alvin draws a column graph to show the results for his friends.
How many more of Clive's friends read 3-4 books in the last month than Alvin's friends?
- 0
- 4
- 6
- 8
Displaying Data, SM-Bank 001 MC
This graph shows the number of lottery tickets sold by a newsagent on each day of a given week.
On which days did the newsagent sell 23 lottery tickets?
- Tuesday
- Wednesday
- Thursday
- Friday
Classifying Data, SM-Bank 024 MC
The school canteen wishes to conduct a survey to find out the preferred sandwich fillings of students so they can ensure they are catering to the likes of the students.
Which of the following survey options would provide the most useful information.
- A survey of all students in year 8.
- A survey of the total school population.
- A survey of 20 boys from each year group.
- A survey of 25 students from each year group who regularly buy their lunch at the canteen.
Classifying Data, SM-Bank 023 MC
Which of the following would be best conducted as a sample?
- The heights of players in the school basketball team.
- The number of people attending the 3 pm session of the latest Marvel movie in Gold Class at the local cinema on Friday.
- The number of bottles of water were sold at the school athletics carnival.
- The most popular streaming platform in Australia.
Classifying Data, SM-Bank 022
Explain the difference between a census and a sample. (2 marks)
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Classifying Data, SM-Bank 021
Explain why a door-to-door survey conducted between the hours of 9 am and 3 pm on a Tuesday may not give results representative of the population. (2 marks)
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Classifying Data, SM-Bank 120
The local council is researching possible uses for a large area of land close to an established housing development.
One of the options for the land is a football stadium with a crowd capacity of
The council is considering surveying people as they exit an existing football stadium in a neighbouring town.
Give a reason why this survey may not provide reliable data. (2 marks)
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Classifying Data, SM-Bank 019
Min is writing a report regarding the capacity of dams in NSW during 2023 projecting in to 2024. He wishes to include rainfall data for the previous 12 months in each of the catchment areas.
Should Min use primary or secondary sources to obtain this informaiton? Give a reason for your answer. (2 marks)
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Classifying Data, SM-Bank 018
Michael is conducting a survey to determine whether his clients are happy with the customer service they receive at his restaurant.
Should Michael use primary or secondary source data for his survey? Give a reason for your answer. (2 marks)
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Classifying Data, SM-Bank 017
Explain the difference between continuous and discrete data, giving an example of each. (3 marks)
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Classifying Data, SM-Bank 016 MC
The following question was asked in a survey.
'What month were you born?'
How would the responses be classified?
- Categorical, ordinal
- Categorical, nominal
- Numerical, discrete
- Numerical, continuous
Classifying Data, SM-Bank 015 MC
Organisers were choosing relay teams for the regional athletics carnival.
They asked the following question.
'What were the times for the 15 Years boys relay teams at zone athletics carnivals?'
How would the responses be classified?
- Categorical, ordinal
- Categorical, nominal
- Numerical, discrete
- Numerical, continuous
Classifying Data, SM-Bank 014 MC
Which of the following is an example of categorical nominal data?
- Gold, Silver, Bronze medals
- Small, Medium, Large
- French Bulldog, Poodle, Cavoodle
- First place, Second place
Classifying Data, SM-Bank 013
Which of the following is an example of categorical ordinal data?
- Pink, Blue, Mauve
- Small, Medium, Large
- Apple, Pear, Orange
- Labrador, Beagle, Poodle
Classifying Data, SM-Bank 012
Which of the following is an example of numerical continuous data?
- The weights of babies born in a hospital during the month of May
- The types of cars sold at a car yard
- The number of funnel-web spiders collected by the Australian Reptile Park in 2023
- The colours used in the American flag
Classifying Data, SM-Bank 011 MC
Which of the following is an example of numerical discrete data?
- The minimum temperature in each capital city on Monday morning
- The number of competitors in a triathlon
- The different types of snakes in a reptile display
- The lengths of earth worms in a garden
Classifying Data, SM-Bank 010
State whether the following categorical data is nominal or ordinal.
- Rating exam questions as easy or hard. (1 mark)
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- Listing the colours of cars passing the bus stop during period 3. (1 mark)
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- Recording dietary preferences such as vegan, gluten-free, vegetarian. (1 mark)
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- Receiving an A, B, C, D or E on a report card. (1 mark)
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Classifying Data, SM-Bank 009
State whether the following data is categorical or numerical. If numerical, state whether discrete or continuous.
- The distance thrown by the 15 years javelin champion. (1 mark)
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- The types of fruit used in a fruit salad. (1 mark)
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- The number of students travelling to the Year 7 camp by bus. (1 mark)
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Classifying Data, SM-Bank 008
Match each variable with its classification on the right. (2 marks)
Classifying Data, SM-Bank 007
Classify the following as either categorical or numerical data.
- The colours of the cars entering a shopping centre. (1 mark)
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- The temperatures recorded in Brisbane over a 2 week period. (1 mark)
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Classifying Data, SM-Bank 006 MC
Which of the following is not an example of categorical data?
- A list of religions
- Colours of the rainbow
- Fruits in a smoothie
- Heights of children in Year 8
Classifying Data, SM-Bank 005
What is the term used to describe data that is grouped in categories such as gold, silver and copper? (1 mark)
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Data Analysis, SM-Bank 050
Brandon made a dot plot to show the hours he worked over the last 16 weeks.
What is the mean number of hours that Brandon worked over that last 16 weeks? (2 marks)
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Data Analysis, SM-Bank 049
Evie made a dot plot to show the distances she has swum in her training for a long distance ocean swim.
What is the mean distance that Evie has swum? Give your answer correct to 1 decimal place. (2 marks)
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Data Analysis, SM-Bank 048 MC
Dante made a dot plot to show the distances he has run in his training for a half-marathon.
What is the median of the distances Dante has run?
Data Analysis, SM-Bank 047 MC
Angelica made a dot plot to show the distances she has run in her training for a marathon.
What is the range of the distances Angelica has run?
Data Analysis, SM-Bank 046
The back-to-back ordered stem-and-leaf plot below shows the female and male smoking rates, expressed as a percentage, in 18 countries.
- For the 18 countries listed, what is the range of the male smoking rates? (1 mark)
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- For the 18 countries listed, what is the mode of the female smoking rates? (1 mark)
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- For the 18 countries listed, what is the difference between the medians of the female and male smoking rates? (2 marks)
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Classifying Data, SM-Bank 004 MC
The variables age (under 55 years, 55 years and over) and preferred travel destination (domestic, international) are
- both categorical variables.
- both numerical variables.
- a numerical variable and a categorical variable respectively.
- a categorical variable and a numerical variable respectively.
Classifying Data, SM-Bank 003
The variables blood pressure (low, normal, high) and age (under 50 years, 50 years or over) are
- both nominal variables.
- both ordinal variables.
- a nominal variable and an ordinal variable respectively.
- an ordinal variable and a nominal variable respectively.
Classifying Data, SM-Bank 002 MC
The variables recovery time after exercise (in minutes) and fitness level (below average, average, above average) are
- both numerical.
- an ordinal variable and a nominal variable respectively.
- a numerical variable and a nominal variable respectively.
- a numerical variable and an ordinal variable respectively.
Data Analysis, SM-Bank 045 MC
For an ordered set of data containing an odd number of values, the middle value is always
- the mean.
- the median.
- the mode.
- the mean, the median and the mode.
Data Analysis, SM-Bank 044 MC
The total birth weight of a sample of 12 babies is 39.0 kg.
The mean birth weight of these babies, in kilograms, is
- 2.50
- 2.75
- 3.00
- 3.25
Data Analysis, SM-Bank 043 MC
The total weight of nine oranges is 1.53 kg.
Using this information, the mean weight of an orange would be calculated to be closest to
- 115 g
- 153 g
- 162 g
- 170 g
Classifying Data, SM-Bank 001 MC
The variables
region (city, urban, rural)
population density (number of people per square kilometre)
- are both categorical.
- are both numerical.
- are categorical and numerical respectively.
- are numerical and categorical respectively.
Volume, SM-Bank 166
The cube and cylinder below both have the same volume.
- Calculate the volume of the cube in cubic centimetres. (2 marks)
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- Calculate the height of the cylinder,
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Volume, SM-Bank 165
The cylinder and rectangular prism below both have the same volume.
- Calculate the volume of the cylinder in cubic centimetres, correct to 2 decimal places. (2 marks)
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- Calculate the length of the side labelled
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Volume, SM-Bank 164
A half-cylinder has a height of 44 millimetres and a diameter of 20 millimetres. Calculate the volume of the half-cylinder in cubic centimetres, giving your answer as an exact value in terms of
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Volume, SM-Bank 163
A quarter-cylinder has a height of 160 centimetres and a radius of 800 centimetres . Calculate the volume of the quarter-cylinder in cubic metres, giving your answer as an exact value in terms of
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Volume, SM-Bank 162
A half-cylinder has a height of 12 centimetres and a radius of 9 centimetres. Calculate the volume of the half-cylinder, giving your answer as an exact value in terms of
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Volume, SM-Bank 161
A right cylinder has a height of 100 millimetres and a radius of 1.1 millimetres. Calculate the volume of the cylinder, giving your answer as an exact value in terms of
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Volume, SM-Bank 160
A right cylinder has a height of 7 metres and a radius of 4 metres. Calculate the volume of the cylinder, giving your answer as an exact value in terms of
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Volume, SM-Bank 159
A right cylinder has a volume of
Give your answer to the nearest whole centimetre. (2 marks)
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Volume, SM-Bank 158
A right cylinder has a volume of 22 cubic metres. Calculate the diameter of the cylinder if the height is 7 metres.
Give your answer to the nearest whole metre. (3 marks)
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Volume, SM-Bank 157
A right cylinder has a volume of 8482.3 cubic millimetres. Calculate the diameter of the cylinder if the height is 12 millimetres.
Give your answer to the nearest whole millimetre. (3 marks)
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Volume, SM-Bank 156
A right cylinder has a volume of
Give your answer to the nearest whole centimetre. (2 marks)
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