Sample Mean Less Than Standard Deviation

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Sample Mean Less Than Standard Deviation. The standard error of the mean (sem) measures how much discrepancy is likely in a sample's mean compared with the population mean. Here is an "engineering" answer.

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Sample mean is itself a random variable with mean of the original population, but lower standard deviation. The standard deviation of the sample means (known as the standard error of the mean) will be smaller than the population standard deviation and will be . The desired value for the standard deviation is the population standard deviation divided by the .

Here is an "engineering" answer.

The standard deviation of the distribution of the sample means, called the standard error of the . The mean 0.49 is nearly equal to the population mean 0.5. The mean of the sample means will equal the population mean. The standard error of the mean (sem) measures how much discrepancy is likely in a sample's mean compared with the population mean.