## Stratified samplingThis scenario demonstrates stratified sampling. Stratified sampling involves dividing the population into groups and randomly selecting a proportionate number of individuals from each group.

### Stratified sampling is a technique used in statistics to ensure that a representative sample is obtained from a population

Stratified sampling is a technique used in statistics to ensure that a representative sample is obtained from a population. This method involves dividing the population into distinct groups, known as strata, based on certain characteristics that are of interest. In stratified sampling, a proportionate number of individuals is randomly selected from each stratum.

Let’s consider an example to understand stratified sampling better. Suppose you are conducting a survey to determine the favorite ice cream flavor among people in a city. The population in this case is all the people in the city. You decide to divide the population into three strata based on age: young (18-30 years old), middle-aged (31-50 years old), and elderly (51 years and above).

To perform stratified sampling, you would first need to determine the proportion of individuals you want in each stratum. Let’s say you decide that you want the sample to be proportional to the population distribution, so you select 30% from the young group, 50% from the middle-aged group, and 20% from the elderly group.

Once you have determined the proportions, you would randomly select individuals from each stratum based on those proportions. For example, if there are 1000 people in the young group, you would randomly select 300 individuals to participate in the survey. Similarly, if there are 500 people in the middle-aged group, you would select 250 individuals, and if there are 200 people in the elderly group, you would select 40 individuals. These numbers are based on the proportions you determined earlier.

By using this stratified sampling method, you ensure that each age group is properly represented in the final sample. This allows you to make more accurate inferences about the favorite ice cream flavor among people in the city as a whole.

Stratified sampling is a valuable technique in statistical analysis as it helps reduce bias and provides better representation of the entire population. It allows for more accurate analysis and results by considering the different characteristics or strata within a population.

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