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impartial basicly. Basicly if someone was on a jury and a case was presented where a guy stole something but the jury member already knew the guy and didn't like him he would be biased against him (he would go against him regardless of evidence) so unbiased means not showing favoritism or prejudice.

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Is mean an unbiased estimator of a population?

Yes, the sample mean is an unbiased estimator of the population mean. This means that, on average, the sample mean will equal the true population mean when taken from a large number of random samples. In other words, as the sample size increases, the expected value of the sample mean converges to the population mean, making it a reliable estimator in statistical analysis.


What does fair mean in mathematics?

Fair means unbiased. That is to say, the expected outcome of a set of trials is the same as what would be expected on theoretical grounds.


What is the mean and variance of throwing unbiased dice?

When throwing a single unbiased six-sided die, the mean (expected value) is calculated as the average of the outcomes: (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5. The variance measures the spread of the outcomes around the mean, which is calculated as the average of the squared deviations from the mean: the variance for a single die is 2.9167 (or 35/12). For multiple dice, the mean is the number of dice times 3.5, and the variance is the number of dice times 2.9167.


Not to take sides is to remain what?

unbiased.


Why the sample variance is an unbiased estimator of the population variance?

The sample variance is considered an unbiased estimator of the population variance because it corrects for the bias introduced by estimating the population variance from a sample. When calculating the sample variance, we use ( n-1 ) (where ( n ) is the sample size) instead of ( n ) in the denominator, which compensates for the degree of freedom lost when estimating the population mean from the sample. This adjustment ensures that the expected value of the sample variance equals the true population variance, making it an unbiased estimator.