Which statistic is an unbiased estimator of the population mean?

Correct answer: A. The sample mean

  • A. The sample mean
  • B. The sample range
  • C. The sample variance with divisor n
  • D. The sample standard deviation

Explanation

The sample mean has an expected value equal to the population mean, so it is an unbiased estimator. The range and standard deviation estimate other population features, while variance with divisor n is generally biased for population variance.

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Sampling covers population and sample, sampling frames, simple random, systematic, stratified, cluster and convenience methods, along with sampling and non-sampling errors. Estimation includes sample statistics, population parameters, point estimates, confidence intervals and margins of error, with attention to how sample size affects precision.

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