Populations and Samples (VCE SSCE Mathematical Methods): Flashcards

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Populations and Samples
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Population definition

Complete set of individuals/items we want to study

Sample definition

Smaller subset chosen from the population

3 reasons can't study entire populations

Too large, difficult to reach, destructive testing

Advantages of working with a sample

Faster data collection, lower costs, more practical

Simple random sample definition

Every subset of size nn has equal chance of being chosen

Representative sample definition

Subgroups in sample mirror their proportions in population

Population proportion pp characteristic

Constant/fixed for a given population (parameter)

Sample proportion p^\hat{p} characteristic

Varies from sample to sample (statistic)

Formula for population proportion pp

p=number with attributepopulation sizep = \frac{\text{number with attribute}}{\text{population size}}

Formula for sample proportion p^\hat{p}

number in sample with attributesample size\frac{\text{number in sample with attribute}}{\text{sample size}}

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