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Question
explain 2 identifying representative samples
read the section below and complete the following activity.
the right size matters
size does matter when it comes to samples. too small, and you might miss the broader picture; too large, and you could be drowning in unnecessary data. the goal is to find that \just right\ size where your sample accurately reflects the populations diversity without being unmanageably large. in research, a sample size of 30 is usually a recommended minimum to make inferences about the population that sample is drawn from.
diversity is crucial
a classroom filled with only left - handed people wont tell you much about the preferences of right - handed ones. similarly, your sample should be a mini - version of your populations diversity. this means if your population is a colorful tapestry of different ages, backgrounds, and interests, your sample should be too.
random selection
imagine picking a team for a game, but instead of choosing your favorites, you let everyones names be drawn from a hat. thats random selection - everyone has an equal chance of being chosen. this method helps ensure that your sample is unbiased and truly representative of the population.
avoiding bias
in sampling, bias occurs when some members of the population have a higher chance of being selected than others. ensuring fairness means actively avoiding anything that might skew your sample away from being a true reflection of the population.
real - world relevance
your sample not only needs to look like the population but also think and behave like it. if your desired population is teenage avid video gamers, then your sample should include teenagers that love video games. you still need to use random selection from your pool of potential video gamers in your study.
your turn
- describe all the reasons you can think of why a sample of ten 9th graders you personally know at a traditional high school with bell schedule day would not be representative of all high school students in the united states.
- what is the typically the minimum number of people you need in your sample to make inferences about the population your sample is drawn from?
- Not diverse (only 9th - graders, known personally), small - sized (only 10), non - random.
- Text states 30 is the recommended minimum.
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- Lack of diversity, small size, non - random selection.
- 30