10.01 Types of data
State whether the following types of data are numerical:
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
Favorite colours
Colours of folders
Brands of phones
State whether the following types of data are continuous:
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 soda 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
State whether the following types of data are discrete:
Daily humidity
The ages of a group of people
The time taken to run 200 metres
Lengths of cats' whiskers
The number of classrooms in your school
The distance from the Earth to nearby galaxies
How long it takes you to fall asleep at night
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 types of data are categorical:
Maximum snowfall
Daily UV index
Types of dogs
Favorite colours
Brands of phones
Types of fruits
Colours of folders
Amount remaining on interest free purchase
State whether the following types of data are ordinal or nominal:
State/territory of birth
Year level
Position in a queue
Eye colour
Your birthdate
Temperature
Favourite song
The table shows employment data for Australians aged 15 years and over, from the 2016 census.
Is "type of employment" an ordinal or nominal variable? Explain your answer.
| Type of employment | Percentage |
|---|---|
| \text{Full-time work} | 57.7 |
| \text{Part-time work} | 30.4 |
| \text{Away from work} | 5.0 |
| \text{Unemployed} | 6.9 |
| \text{Total} | 100 |
A week after upgrading their website, General Products sent out a survey to a sample of their customers.
The table shows what their customers thought of the changes overall.
Is "overall happiness" an ordinal or nominal variable? Explain your answer.
| Overall happiness | Number | Percentage |
|---|---|---|
| \text{Very happy} | 56 | 22.4 |
| \text{Happy} | 107 | 42.8 |
| \text{Indifferent} | 45 | 18.0 |
| \text{Sad} | 29 | 11.6 |
| \text{Very sad} | 13 | 5.2 |
| \text{Total} | 250 | 100 |
Classify the following data by choosing one of the following:
Numerical discrete
Numerical continuous
Categorical ordinal
Categorical nominal
Population of your town
Types of vehicles 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
Harry's cat gave birth to a litter of kittens, and he recorded the sex of each kitten as a list:
\text{M, F, M, M, M, F, F, F, F, M}
Classify the type of data is being represented by this list.
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.