gen-explain-the-standard-error-as-you-would-to-a-capable-student-6cc6

Explain the standard error as you would to a capable student, in 3-4 sentences.

The standard error measures how much variability we'd expect in a sample statistic (like a mean) if we repeatedly took different samples from the same population. Think of it this way: if you calculated the average height from 50 random people, then did it again with a different 50 people, you'd get slightly different answers each time—the standard error quantifies that expected variation. It's calculated by dividing the population standard deviation by the square root of the sample size, which means larger samples give you more precise estimates (smaller standard error). Essentially, it tells you how confident you can be that your sample statistic is close to the true population parameter.