I’ve been looking at Statistics in my free time and what exactly does standard deviation is useful for and/or how can I extract meaningful data by using SD and what conclusion can I derive from said data?
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The mean is the average of your set of data. Each data point in a set has a small difference or deviation between it and the mean. The standard deviation is the average of these small differences. It helps tell you how precise or tightly clustered your data is around the mean with a small value being more precise than a large one.
If the average female height is 62 inches and the standard deviation is 3, one standard deviation is +/- 3 in either direction and two standard deviations are +/- 6 in either direction. We use the phrasing within one/two/X# standard deviations to scale probability calculations like Z scores…which is another lecture.
Hope this helped.
I recommend stat info from here. It’s helped me in the past
https://www.statology.org/find-probability-given-mean-and-standard-deviation/
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