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Statistics, STD2 S1 EQ-Bank 21

A survey question is shown.

Give TWO reasons why this survey may be considered to be poorly designed.   (2 marks)

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\(\text{Examples of poor design:}\)

\(\text{Only 3 choices of many colours are given.}\)

\(\text{Two colours might be someone’s equal favourite colours.}\)

Show Worked Solution

\(\text{Examples of poor design:}\)

\(\text{Only 3 choices of many colours are given.}\)

\(\text{Two colours might be someone’s equal favourite colours.}\)

Statistics, STD2 S4 EQ-Bank 16

Pedro is planning a statistical investigation.

List the steps that Pedro must follow to execute the statistical investigation correctly.   (2 marks)

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`text(- Identify a problem and pose a statistical question)`

`text(- Collect or obtain data)`

`text(- Represent and analyse the data collected or obtained)`

`text(- Communicate and interpret findings.)`

Show Worked Solution

`text(Steps are:)`

`text(- Identify a problem and pose a statistical question)`

`text(- Collect or obtain data)`

`text(- Represent and analyse the data collected or obtained)`

`text(- Communicate and interpret findings.)`

Statistics, STD2 S1 2011 HSC 25a

A study on the mobile phone usage of NSW high school students is to be conducted.

Data is to be gathered using a questionnaire.

The questionnaire begins with the three questions shown.

2UG 2011 25a

  1. Classify the type of data that will be collected in Q2 of the questionnaire.   (1 mark)

  2. Write a suitable question for this questionnaire that would provide discrete ordinal data.   (1 mark)

  3. An initial study is to be conducted using a stratified sample.

     

    Describe a method that could be used to obtain a representative stratified sample.   (1 mark)

  4. Who should be surveyed if it is decided to use a census for the study?   (1 mark)

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a.    `text(Categorical)`

b.    `text(See Worked Solutions)`

c.    `text(See Worked Solutions)`

d.    `text(A census would involve all high school students in NSW.)`

Show Worked Solution

a.    `text(Categorical)`
 

b.    `text(How often do you use your mobile phone each day?)`

`text{(Option structure:- Never, Rarely, Sometimes, Often, Always.)}`
 

c.   `text(The method could be to work out how many)`

♦♦♦ Mean mark 7%.
COMMENT: Know random, systematic and stratified sampling definitions.

`text{students are in each year and ask 10% of the}`

`text{students in each year. (Note the sample of}`

`text{students in each year must be  proportional to}`

`text{their percentage in the population).}`

 

♦♦♦ Mean mark 18%.
MARKER’S COMMENT: A specific population is required here.

d.    `text(A census would involve all high school)`

`text(students in NSW.)`

Statistics, STD2 S3 2009 HSC 5 MC

Jamie wants to know how many songs were downloaded legally from the internet in the last 12 months by people aged 18–25 years. He has decided to conduct a statistical inquiry.

After he collects the data, which of the following shows the best order for the steps he should take with the data to complete his inquiry?

  1. Display, organise, conclude, analyse
  2. Organise, display, conclude, analyse
  3. Display, organise, analyse, conclude
  4. Organise, display, analyse, conclude
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`D`

Show Worked Solution

`text(Process of statistical enquiry requirements)`

`=>  D`

Statistics, STD2 S1 2012 HSC 26d

Greg needs to conduct a statistical inquiry into how much time people aged 18–25 years have spent accessing social media websites in the last two weeks. He has decided to survey a sample of students from his university.

The process of statistical inquiry includes the following steps, which are NOT in order.
 

2012 26d 

  1. Using the letters A, B, C, D, E and F, list the steps in the most appropriate order for Greg to conduct his statistical inquiry.   (2 marks)

  2. Greg conducts his statistical inquiry.

     

    At which step in the process would he have drawn this graph?   (1 mark) 

2012 26d2

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a.    `text(B, E, C, F, D, A)`

b.    `text(F)`

Show Worked Solution

a.   `text(B, E, C, F, D, A)`

b.   `text(F)`