Statistics Standard Deviation
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07-28-2023, 02:07 PM
(This post was last modified: 07-28-2023 02:40 PM by Pekis.)
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Statistics Standard Deviation
Hello,
At the end of page 53 of the HP 15C Collector's Edition owner's handbook, there is this note: When your data constitutes not just a sample of a population but all of the population, the standard deviation of the data is the true population standard deviation (denoted σ). The formula for the true population standard deviation differs by a factor of sqrt((n − 1) / n) from the formula used for the s function. The difference between the values is small for large n, and for most applications can be ignored. But if you want to calculate the exact value of the population standard deviation for an entire population, you can easily do so: simply add, using Sigma+, the mean (x dash) of the data to the data before pressing s. The result will be the population standard deviation. (If you subsequently correct any of your accumulated data values, remember to delete the first mean value and add the corrected one.) The proof of this trick is easy math (I checked it ) but I never had heard of it. And you ? Thanks |
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Messages In This Thread |
Statistics Standard Deviation - Pekis - 07-28-2023 02:07 PM
RE: Statistics Standard Deviation - ttw - 07-28-2023, 09:09 PM
RE: Statistics Standard Deviation - Matt Agajanian - 07-28-2023, 10:50 PM
RE: Statistics Standard Deviation - Pekis - 08-01-2023, 10:43 AM
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