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To better understand, let's consider a simple example. Suppose you have a population of five numbers: 2, 4, 6, 8, and 10. You calculate the standard deviation of this entire population and get a certain value. Now, take a sample of three numbers from that population, say, 2, 4, and 6. If you calculate the standard deviation of this sample directly, you'll likely get a smaller value than the standard deviation of the entire population. This is because the sample, by chance, may not include the more extreme values (8 and 10) that contribute to the spread. This highlights why directly using the sample standard deviation can be misleading, particularly when the sample size is small. You need to use a correction to account for this bias.
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