The law of large numbers establishes that sample means will approach the mean of the parent population as sample size increases.

Name: The law of large numbers establishes that sample means will approach the mean of the parent population as sample size increases.
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The law of large numbers states that as the size of a sample increases, the sample mean will get closer to the expected value (mean) of the parent population, assuming that all samples are identical in terms of how they're chosen.

The Law of Large Numbers Establishes That Sample Means Will