State whether the following examples are numerical or categorical data:
Favourite flavours
Maximum temperature
Daily temperature
Types of horses
Amount owing on layby
Types of vegetables
Brands of tablets
Types of folders
Daily UV index
Maximum rainfall
Favourite colours
Colours of folders
Brands of phones
Maximum snowfall
Types of dogs
Types of fruits
Amount remaining on interest free purchase
State whether the following data types are discrete or continuous:
The number of classrooms in your school
Daily humidity
The ages of a group of people
The time taken to run 200 metres
Lengths of cats' whiskers
The distance from the Earth to nearby galaxies
How long it takes you to fall asleep at night.
Amount of money paid for walking the dog.
The number of people taller than you in your class.
The top speed of different models of motorcycles.
The size of people's rare coin collections.
The amount of water you drink in a day.
The world record time for solving 10 Rubik's cubes.
The hourly pay rate for a particular job.
The number of views that a YouTube channel has.
The snowfall in your city
Number of children in your sports team
The strength of an earthquake
Amount of money owing on a mortgage
Your marks in your most recent Physics test
State whether the following are nominal or ordinal categorical data:
Eye colour
Your birthdate
Temperature
Favourite song
State/territory of birth
Year level
Speed of light
Position in a queue
Classify the following data examples as one of the following types:
- Numerical Discrete
- Numerical Continuous
- Categorical Ordinal
- Categorical Nominal
Population of your town
Types of trailers in a shopping centre carpark
Heights of people at an athletics carnival
Weights of dogs
The languages spoken in your class
The number of languages students in your town speak
The number of people at an athletics carnival
The time spent playing games each day
The number of sports equipment that you own
Classify the following data examples as one of the following types:
- Quantitative continuous
- Quantitative discrete
- Categorical
The workplaces of people living in Sydney
The body temperature of a hospital patient taken over a 21 hour period
The brands of breakfast foods in a supermarket
The weights of club members
The number of people attending a netball game
The graph below shows the height of each student in Kate's class:
Is the variable 'height of student' continuous or discrete? Explain your answer.
Is the variable 'number of students in a given height range' continuous or discrete? Explain your answer.
Identify the level of measurement that can be applied to the following data as nominal, ordinal, interval or ratio.
Number of pets in a household
pH of liquid
Make of car
Weights of eggs
Daily rainfall in a city
Military rank
Temperature measured in degrees Celsius
Temperature measured in kelvin
Letter grades on an assignment (A to F)
Year of your birth
Identify the level of measurement that can be applied to the data generated in each of the following situations as nominal, ordinal, interval or ratio.
The time taken for a team of swimmers to complete one lap of a swimming pool is recorded by their coach.
The shoe sizes of shoeprints left at the scene of a crime are recorded by a detective.
The religion practiced by a person is recorded during a census.
A driver is being rated by customers on a scale of 1 star to 5 stars.
Patients at a hospital are asked to give their pain a rating from 1 to 10.
Vera says: "The pain ratings are interval data because they are numerical and have a scale going up in equal amounts."
Critique Vera's reasoning and give a correct explanation for the level of measurement that can be applied to the pain rating data.
Determine whether the following statistics can be meaningfully computed, interpreted, and compared, from the data in each situation.
Mode
Median
Differences between outcomes
Ratios between outcomes
The temperature, in degrees Celsius, of the ocean at a particular location is monitored and fed back to a weather station.
A group of people is survey and asked to indicate their attitude on a recent government policy by selecting a number from 1 to 5, where 1= strongly disagree, 2= disagree, 3= neutral, 4= agree and 5= strongly agree.
The flavour of ice-cream selected by customers at a market stall is recorded over a day.
The weight of puppies at puppy school is recorded each week.