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The standard deviation of a sampling distribution is also classified as

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The standard deviation of a sampling distribution is also classified as

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The standard deviation of a sampling distribution is also classified as the standard error.

Here are the steps to understand this:

  1. The standard deviation is a measure of how spread out numbers are in a data set. It's the square root of the variance.

  2. In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic.

  3. The standard deviation of this sampling distribution is called the standard error. It measures the statistical accuracy of an estimate, or how much the values in the sample vary from the estimated population parameter.

  4. The standard error decreases as the sample size increases, because the estimate becomes more accurate.

  5. Therefore, the standard deviation of a sampling distribution, or standard error, gives us a measure of how much our sample mean is likely to deviate from the actual population mean.

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