Expected Sample Mean Formula

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Expected Sample Mean Formula. That is, we have shown that the mean of . Finding the sample mean is no different from finding the average of a set of numbers.

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The sample mean x is a random variable: That is, we have shown that the mean of . To find the expected value, e(x), or mean μ of a discrete random variable x, simply multiply each value of the random variable by its .

To find the expected value or long term average, μ, simply multiply each value of the random variable by its probability and add the products.

We have shown that the mean (or expected value, if you prefer) of the sample mean x ¯ is μ. That is, we have shown that the mean of . The sample mean from a group of observations is an estimate of the population mean. We have shown that the mean (or expected value, if you prefer) of the sample mean x ¯ is μ.