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RossWell, the symbol for standard deviation looks like a lowercase Greek letter sigma (σ). You can pronounce it as "sigma" or simply say "standard deviation." Remember, it's all about expressing yourself in a way that feels comfortable for you. Just paint your own happy little pronunciation picture!
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Is the Symbol for the population standard deviation?
A lower case s is the symbol.
Population standard deviation symbol?
σ sigma
What are the assumptions of standard deviation?
The standard deviation is the standard deviation! Its calculation requires no assumption.
What is the difference between standard error of mean and standard deviation of means?
Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.
Variance and standard deviation are one and the same thing?
No. But they are related. If a sample of size n is taken, a standard deviation can be calculated. This is usually denoted as "s" however some textbooks will use the symbol, sigma. The standard deviation of a sample is usually used to estimate the standard deviation of the population. In this case, we use n-1 in the denomimator of the equation. The variance of the sample is the square of the sample's standard deviation. In many textbooks it is denoted as s2. In denoting the standard deviation and variance of populations, the symbols sigma and sigma2 should be used. One last note. We use standard deviations in describing uncertainty as it's easier to understand. If our measurements are in days, then the standard deviation will also be in days. The variance will be in units of days2.
