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Middle Years

10.01 Types of data

Worksheet
Numerical data
1

State whether the following types of data are numerical:

a

Favourite flavours

b

Maximum temperature

c

Daily temperature

d

Types of horses

e

Amount owing on layby

f

Types of vegetables

g

Brands of tablets

h

Types of folders

i

Daily UV index

j

Maximum rainfall

k

Favorite colours

l

Colours of folders

m

Brands of phones

2

State whether the following types of data are continuous:

a

Amount of money paid for walking the dog

b

The number of people taller than you in your class

c

The top speed of different models of motorcycles

d

The size of people's rare coin collections

e

The amount of soda you drink in a day

f

The world record time for solving 10 Rubik's cubes

g

The hourly pay rate for a particular job

h

The number of views that a YouTube channel has

3

State whether the following types of data are discrete:

a

Daily humidity

b

The ages of a group of people

c

The time taken to run 200 metres

d

Lengths of cats' whiskers

e

The number of classrooms in your school

f

The distance from the Earth to nearby galaxies

g

How long it takes you to fall asleep at night

h

The snowfall in your city

i

Number of children in your sports team

j

The strength of an earthquake

k

Amount of money owing on a mortgage

l

Your marks in your most recent Physics test

Categorical data
4

State whether the following types of data are categorical:

a

Maximum snowfall

b

Daily UV index

c

Types of dogs

d

Favorite colours

e

Brands of phones

f

Types of fruits

g

Colours of folders

h

Amount remaining on interest free purchase

5

State whether the following types of data are ordinal or nominal:

a

State/territory of birth

b

Year level

c

Position in a queue

d

Eye colour

e

Your birthdate

f

Temperature

g

Favourite song

6

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 employmentPercentage
\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
7

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 happinessNumberPercentage
\text{Very happy}5622.4
\text{Happy}10742.8
\text{Indifferent}4518.0
\text{Sad}2911.6
\text{Very sad}135.2
\text{Total}250100
Identifying types of data
8

Classify the following data by choosing one of the following:

  • Numerical discrete

  • Numerical continuous

  • Categorical ordinal

  • Categorical nominal

a

Population of your town

b

Types of vehicles in a shopping centre carpark

c

Heights of people at an athletics carnival

d

Weights of dogs

e

The languages spoken in your class

f

The number of languages students in your town speak

g

The number of people at an athletics carnival

h

The time spent playing games each day

i

The number of sports equipment that you own

9

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.

10

The graph below shows the height of each student in Kate's class:

a

Is the variable 'height of student' continuous or discrete? Explain your answer.

b

Is the variable 'number of students in a given height range' continuous or discrete? Explain your answer.

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