The data being closely aligned with the Empirical Rule percentages—68.4% within one standard deviation and 94.6% within two—indicates a normal distribution.
Based on the provided information, the indication that the data are normally distributed comes from the percentages given for data within one and two standard deviations of the mean. In a normal distribution, also known as a Gaussian or bell-shaped distribution, approximately 68 percent of the data falls within one standard deviation of the mean and approximately 95 percent falls within two standard deviations of the mean, according to the Empirical Rule.
Given that 68.4% of the data is within one standard deviation and 94.6% is within two standard deviations, the data closely adheres to the expectations of the Empirical Rule. This suggests that the set of data is indeed normally distributed, as it almost exactly matches the percentages specified by the rule.