What does happen is that the estimate of the standard deviation becomes more stable as the sample size increases. The cookie is used to store the user consent for the cookies in the category "Performance". For a data set that follows a normal distribution, approximately 68% (just over 2/3) of values will be within one standard deviation from the mean. Deborah J. Rumsey, PhD, is an Auxiliary Professor and Statistics Education Specialist at The Ohio State University. Connect and share knowledge within a single location that is structured and easy to search. Step 2: Subtract the mean from each data point. Larger samples tend to be a more accurate reflections of the population, hence their sample means are more likely to be closer to the population mean hence less variation.
\nWhy is having more precision around the mean important? She is the author of Statistics For Dummies, Statistics II For Dummies, Statistics Workbook For Dummies, and Probability For Dummies. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9121"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"
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