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Classifying Data, SM-Bank 024 MC

The school canteen wishes to conduct a survey to find out the preferred sandwich fillings of students so they can ensure they are catering to the likes of the students.

Which of the following survey options would provide the most useful information.

  1. A survey of all students in year 8.
  2. A survey of the total school population.
  3. A survey of 20 boys from each year group.
  4. A survey of 25 students from each year group who regularly buy their lunch at the canteen.
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\(D\)

Show Worked Solution

\(\text{Considering each option:}\)

A.   \(\text{Not representative of the whole school population.}\)
B. \(\text{Not necessary to survey students who do not use the canteen.}\)
C. \(\text{Not representative of the whole school population.}\)
D. \(\text{Students from each year who use the canteen are surveyed,}\)
  \(\text{so representative of the whole population of canteen users. }\checkmark \)

 

\(\Rightarrow D\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 023 MC

Which of the following would be best conducted as a sample?

  1. The heights of players in the school basketball team.
  2. The number of people attending the 3 pm session of the latest Marvel movie in Gold Class at the local cinema on Friday.
  3. The number of bottles of water were sold at the school athletics carnival.
  4. The most popular streaming platform in Australia.
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\(D\)

Show Worked Solution

\(\text{Considering each option:}\)

\(\text{A.  You could measure the all players }\longrightarrow\ \text{Census}\)

\(\text{B.  This information would be available from ticket sales }\longrightarrow\ \text{Census}\)

\(\text{C.  Could be determined exactly with a stocktake of remaining bottles }\longrightarrow\ \text{Census}\)

\(\text{D.  It would not be possible to interview every household to determine popularity }\longrightarrow\ \text{Sample}\)
 

\(\Rightarrow D\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 022

Explain the difference between a census and a sample.  (2 marks)

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\(\text{A census surveys the whole population.}\)

\(\text{A sample surveys a section of the population.}\)

Show Worked Solution

\(\text{A census surveys the whole population.}\)

\(\text{A sample surveys a section of the population.}\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 021

Explain why a door-to-door survey conducted between the hours of 9 am and 3 pm on a Tuesday may not give results representative of the population.  (2 marks)

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\(\text{It would not be representative of the whole community.}\)

\(\text{For example day workers and school children would not be included.}\)

Show Worked Solution

\(\text{It would not be representative of the whole community.}\)

\(\text{For example day workers and school children would not be included.}\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 120

The local council is researching possible uses for a large area of land close to an established housing development.

One of the options for the land is a football stadium with a crowd capacity of \(30\ 000\) people.

The council is considering surveying people as they exit an existing football stadium in a neighbouring town.

Give a reason why this survey may not provide reliable data.  (2 marks)

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  • \(\text{Could be biassed towards people who like football}\)
  • \(\text{Should be conducted within the town where the impact will be felt}\)
Show Worked Solution
  • \(\text{Could be biassed towards people who like football}\)
  • \(\text{Should be conducted within the town where the impact will be felt}\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 019

Min is writing a report regarding the capacity of dams in NSW during 2023 projecting in to 2024. He wishes to include rainfall data for the previous 12 months in each of the catchment areas.

Should Min use primary or secondary sources to obtain this informaiton? Give a reason for your answer.  (2 marks)

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\(\text{Secondary Source data}\)

\(\text{Reason: See worked example}\)

Show Worked Solution

\(\text{Secondary source data.}\)

\(\text{It would not be possible for Min to collect this information}\)

\(\text{himself so he would therefore need to rely on already existing}\)

\(\text{secondary source data.}\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Classifying Data, SM-Bank 018

Michael is conducting a survey to determine whether his clients are happy with the customer service they receive at his restaurant.

Should Michael use primary or secondary source data for his survey? Give a reason for your answer.  (2 marks)

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\(\text{Primary Source data}\)

\(\text{Reason: See worked example}\)

Show Worked Solution

\(\text{Primary source data.}\)

\(\text{Michael would survey his actual customers}\)

\(\text{to obtain their opinions and is therefore using}\)

\(\text{primary source data.}\)

Filed Under: Classifying Data Tagged With: num-title-ct-core, smc-5075-5-Sampling Methods

Statistics, STD2 S1 2013 HSC 8 MC

A high school has 100 students in each year group, Year 7 to Year 12. A survey is to be conducted to determine the average number of text messages sent per month by students at the school.

Which of the following would provide the most representative sample for this survey?

  1. All Year 7 students
  2. All physics students in Year 11 and 12
  3. 20 students chosen at random from each year group
  4. 120 students chosen at random from the school roll
Show Answers Only

`C`

Show Worked Solution

`text(The best sample would have an equal amount)`

`text(of people in each year randomly selected.)`

`=>\ C`

Filed Under: Classifying Data, Classifying Data (Std 1), Classifying Data (Std 2), Data Classification, Investigation and Sampling Methods (Std2-2027), DS1 - Stats and society Tagged With: Band 2, common-content, num-title-ct-core, num-title-qs-hsc, smc-1127-10-Sampling Methods, smc-5075-5-Sampling Methods, smc-6309-10-Sampling Methods, smc-820-10-Sampling Methods

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