# Representative Observation and Random sampling

Suppose that we have a cross-sectional data set drawn by random sampling.

Then, the data may represent our population of interests.

We can consider two subpopulations: male group and female group.

Here, I want to draw a "representative" observation for each subpopulation.

If I choose a male "randomly" from the male subpopulation, can I say that this observation represents the subpopulation?

In a sentence, I want to draw a male who represent the subpopulation of men.

Then, is random drawing from the subpopulation an appropriate way?

• With very small samples (especially $$n=1$$) there is a chance that the results of random sampling can be intuitively unreasonable, so in some cases a systematic selection might be better. But again, without a definition of what you mean with "representative", in your application, what to do?