Which of the following best describes the Empirical Rule?

The Empirical Rule specifically applies to normal distributions, which is why the choice indicating this is correct. This rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% is within three standard deviations. This characteristic makes the Empirical Rule a useful tool for understanding how data is distributed in relation to the mean.

In contrast, the other options do not accurately represent the scope or relevance of the Empirical Rule. The assertion that it applies to all distributions equally is incorrect because the empirical rule is specifically derived for normal distributions and might not hold true for other types of distributions. Similarly, stating that it only applies to uniform distributions is misleading, as uniform distributions do not have the same properties as normal distributions which are necessary for the Empirical Rule to be applicable. Lastly, claiming that the Empirical Rule is irrelevant in statistical analyses does not align with its established importance in descriptive statistics, particularly when dealing with data that can be assumed to follow a normal distribution.