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Stratified Sampling Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Stratified Sampling
A sampling method where the population is divided into groups (strata) and a proportional sample is taken from each group.
Strata
Subgroups within a population that share a common characteristic, such as age, gender, or income.
Purpose of Stratified Sampling
To ensure that the sample accurately represents the population by including all key subgroups.
Proportional Sampling
The process of selecting a sample size from each stratum in proportion to its size in the population.
Formula for Sample Size from a Stratum
(Size of stratum ÷ Total population size) × Total sample size.
Advantages of Stratified Sampling
It provides a more representative sample and reduces bias compared to simple random sampling.
Disadvantages of Stratified Sampling
It can be time-consuming and requires detailed knowledge of the population to divide it into strata.
Example of a Stratum
In a school, year groups (e.g., Year 7, Year 8) can be considered as strata.
Steps in Stratified Sampling
1. Divide the population into strata. 2. Calculate the proportion of each stratum. 3. Select a proportional sample from each stratum.
When to Use Stratified Sampling
When the population has distinct subgroups that need to be represented in the sample.

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