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

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.

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.

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.