Central Limit Theorem And Medians
A researcher is simulating the sampling distribution of the median for samples of size from a skewed population. The researcher is concerned that the central limit theorem, which recommends a sample size of at least , will not provide a reliable approximation. What is the fundamental flaw in the researcher’s reasoning?
They used a sample size that was too small, which undermines the reliability of the sampling distribution approximation governed by the central limit theorem.
They calculated the median incorrectly by failing to sort the data before determining the middle value.
They mistakenly set the simulation parameters to compute averages of maximum values instead of medians.
They misinterpreted the simulation results by confusing the median with the mean.
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