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1.01 Types of data

Worksheet
Types of data
1

State whether the following are examples of univariate data or bivariate data:

a

A school collects data on the height of each student in two classes in order to compare the classes.

b

A scientist collects data on iron levels in soil and growth of a type of weed in order to investigate the relationship between them.

c

A school collects data on the shoe size of each student in the school.

d

A hockey club collects data on time travelled to get to training from members of three teams in order to compare them.

e

A political group collects data on the taxable income and the addresses of the local electoral constituents in order to investigate if there is an association.

f

A psychologist collects data on the number of days in daycare and NAPLAN results in grade three in order to investigate the relationship between them.

g

John wishes to investigate whether there is an association between the amount of natural sunlight in a classroom and student’s exam results.

h

Emma wishes to investigate whether players in the A hockey team have higher average mathematics test results than players in the B hockey team.

2

State whether the following are examples of categorical data or numerical data:

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

Amount on gas bill

j

Brands of phones

k

Types of fruits

l

Colours of folders

m

Maximum snowfall

n

Daily UV index

o

Types of cats

p

Favorite colours

q

Maximum rainfall

r

Makes of cars

s

Types of fruits

t

Amount of water used for bath

3

State whether the following numerical data types are discrete or continuous:

a

The number of classrooms in your school

b

Daily humidity reading

c

The ages of a group of people

d

The time taken to run 200 \text{ m}

e

Lengths of cats' whiskers.

f

The distance from the Earth to nearby galaxies

g

How long it takes you to fall asleep at night

h

Amount of money paid for walking the dog

i

The number of people taller than you in your class

j

The top speed of different models of motorcycles

k

The size of people's rare coin collections

l

The amount of soft drink you drink in a day

m

The world record time for solving 10 Rubik's cubes

n

The hourly pay rate for a particular job

o

The number of views that a YouTube channel has

p

The rainfall in your city

q

Number of players in your sports team

r

The strength of an earthquake

s

Amount of money owing on a mortgage

t

Your marks in your most recent Physics test

4

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

a

Eye colour

b

Your birthdate

c

Temperature

d

Favourite song

e

State/territory of birth

f

Year level

g

School faction or house

h

Position in a queue

5

Classify the following examples of data as either:

  • Numerical discrete

  • Numerical continuous

  • Categorical nominal

  • Categorical ordinal

a

Length of pencils in mm

b

Year of birth

c

Time taken to get to school in minutes

d

Favourite movies

e

Weight of dogs in kg

f

Number of siblings

g

Number of births

h

Driving license status (learner, red P, etc)

i

Hair colour (black, red, blonde, etc)

j

Hourly rate of pay

k

Country of birth

l

Population of your town

m

Types of cars in a shopping centre carpark

n

Heights of people at an athletics carnival

o

Weights of dogs

p

The languages spoken in your class

q

The number of languages students in your class speak

r

The number of people at an athletics carnival

s

The time spent playing games each day

t

The number of sports equipment items that you own

u

The workplaces of people living in Sydney (office, home office, etc)

v

The body temperature of a hospital patient taken over a 21 hour period

w

The number of people attending a netball game

x

The brands of breakfast foods in a supermarket

y

The weights of fitness club members

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Outcomes

ACMGM048

review the statistical investigation process; for example, identifying a problem and posing a statistical question, collecting or obtaining data, analysing the data, interpreting and communicating the results

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