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Data Collection & Sampling Bias

General Mathematics
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Data Collection & Sampling Bias

General Mathematics
01 May 2026

Data Collection and Sampling Bias

Methods of Data Collection

Method Description Example
Survey/questionnaire Written or online questions Online poll about social media use
Interview Face-to-face or phone questions Structured interview with customers
Observation Directly watching and recording Counting cars at an intersection
Experiment Controlled manipulation of variables Testing a new drug vs placebo
Existing records Using published/administrative data ABS census records, hospital data

What is Sampling Bias?

Bias occurs when the sample does not accurately represent the population, leading to systematic errors in conclusions.

KEY TAKEAWAY: A biased sample produces results that consistently over- or under-estimate the true population value — no matter how large the sample is.

Types of Sampling Bias

Bias Type Cause Example
Self-selection bias People volunteer to participate Online reviews (only very happy/unhappy respond)
Convenience sampling bias Selecting whoever is easiest to reach Surveying only your friends
Non-response bias People who don’t respond differ from those who do Low survey return rate
Undercoverage bias Some groups of the population are excluded Phone survey misses people without phones
Question wording bias Leading questions influence responses “Don’t you agree that…?”

Worked Example

Scenario: A magazine runs a phone-in poll asking readers: “Do you support the new shopping centre development?”

Identify the bias: Self-selection bias — only people with strong opinions (mostly opposed or strongly supportive) are likely to call. The result does not represent the general population.

Better method: Randomly select names from the electoral roll and conduct structured telephone interviews.

Reducing Bias

  • Use random sampling (simple, stratified, or systematic)
  • Ensure adequate coverage of all subgroups
  • Use neutral question wording
  • Follow up on non-respondents
  • Use a sufficiently large sample size

Sampling Error vs Bias

Sampling Error Bias
Cause Random chance in sample selection Systematic flaw in method
Direction Varies (can be above or below) Consistently one direction
Fix Increase sample size Change sampling method

EXAM TIP: VCAA often asks you to identify the type of bias and explain why it makes the sample unrepresentative. Always link your answer to the specific context given.

VCAA FOCUS: Know the difference between sampling error (unavoidable, random) and sampling bias (systematic, avoidable with better design). Increasing sample size reduces sampling error but does NOT fix bias.

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