Interpreting a Simulated Sampling Distribution
The table shows the results of a simulation approximating the sampling distributions of three statistics from a non-normally distributed population. Which of the following is a correct interpretation of the result for the sampling distribution of the median?
| Statistic | Simulated Shape |
|---|---|
| Median | Bell-shaped with slight skew |
| Mean | Roughly symmetric |
| Variance | Left-skewed |
Observing that the sampling distribution of the median appears approximately bell-shaped, suggesting that repeated sampling yields a stable estimate even for non-normal data.
Assuming that the simulation results must perfectly match the shape of the underlying population distribution.
Concluding that the sampling distribution of the median must be exactly normal because the underlying population is normal.
Observing that the median should be disregarded in favor of the mean for all inferential analysis.
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