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3.01 Classifying data

Worksheet
Collect and classify data
1

State whether the following statements are true or false:

a

In a sample survey, information is obtained from the entire population.

b

While collecting statistical data, issues of privacy and ethics must be considered.

2

State whether the following is an instance of a sample or a census:

a

A random selection of some people at a mall.

b

A stock take of all the goods in store.

c

A crash test of new cars just manufactured by a factory.

d

Asking all the teachers at your school whether they approve of a new class timetable.

e

An election to decide the premier of Queensland.

f

Asking a random selection of students in your class whether they approve of the teacher.

g

A taste test of a large batch of cookies you have just baked.

h

A body scan of randomly selected passengers at Melbourne International Airport.

3

State whether the following methods are used in analysing the results of a statistical investigation:

a

Identifying clusters and outliers in a histogram.

b

Calculating statistical quantities like mean and median.

c

Using a secondary data source to obtain statistical data.

d

Constructing a histogram from survey results.

e

Selecting a sampling method.

f

Observing that the distribution of data has a positive skew.

g

Identifying the mode from a frequency table.

h

Organising data into a frequency table.

4

State whether the following methods are used in interpreting the results of a statistical investigation:

a

Posing a statistical question.

b

Looking for patterns in survey results displayed as a histogram.

c

Performing calculations to determine the location and spread of the data.

d

Constructing a stem and leaf plot from survey results.

e

Classifying the data into different groups.

f

Finding the median of a set of data.

g

Comparing the spread between two sets of data.

h

Choosing whether to use a sample or census.

5

Classify the following examples of data as either:

  • Numerical discrete

  • Numerical continuous

  • Categorical nominal

  • Categorical ordinal

a

Number of people at a carnival.

b

Time spent playing games each day.

c

Length of pencils in mm.

d

Year of birth

e

Time taken to get to school in minutes.

f

Favourite movies.

g

Weight of dogs in kg.

h

Number of siblings.

i

Number of births.

j

Driving license status.

k

Hair colour (black, red, blonde, etc).

l

Hourly rate of pay.

m

Country of birth.

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Outcomes

MA12-8

solves problems using appropriate statistical processes

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