What is 3 Standard deviation above the mean ?

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I was watching this compilated YouTube video about work ethic, that some scientists (including Feynman) were speaking. There was this guy saying something along, “I think to have great outcomes, you actually do need to work at like three standard deviation above the mean ”

I only remember basic statistics and simple calculations of mean and standard deviation.

Mean is an average of the dataset.

Standard Deviation is the representation of how close or far are the Datasets from mean.

But I still cannot figure out what he meant.

Note: excuse my English.

In: Mathematics

5 Answers

Anonymous 0 Comments

3 SD above the mean would be the top 0.15% of results. Note, that is not 15%, that’s 0.15%

The mean is simply the average. Most data comes in what is known as a guassian curve, bell curve, or normal distribution. It’s a big hump centered on the mean.

Within 1 SD of the mean (above or below), you would expect to find 68% of all results. Within 2 SD of the mean, you should expect to find 95% of all results. Within 3 SD of the mean, you should expect to find 99.7% of all results. This means only 0.3% is more than 3 SD away from the mean. Half of that would be what we expect to be 3 SD above the mean.

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