Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. the sampling distribution of x overbar has mean mu subscript x overbarequals and standard deviation sigma subscript x overbarequals

The sampling distribution of x overbar has mean μ Subscript x overbars = "μ",  nd standard deviation sigma Subscript x overbar = "σ overbar square root of n"

Explanation:

The symbol for Standard Deviation is σ (the Greek letter sigma).

"To calculate the standard deviation of those numbers:

   1. Work out the Mean (the simple average of the numbers)

   2. Then for each number: subtract the Mean and square the result

   3. Then work out the mean of those squared differences.

   4. Take the square root"

Reference: MathisFun.com. “Standard Deviation Formulas.” Standard Deviation Formulas, 2017

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