According to the empirical rule for normally distributed data, what percent of data would fall within two standard deviations of the mean?A13.5 %

Analysis of the Empirical Rule

The empirical rule, also known as the 68-95-99.7 rule, applies to normally distributed data and states that:

1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.

Answer to the Question

According to the empirical rule, when considering the data within two standard deviations of the mean in a normal distribution, approximately 95% of the data falls within this range. Therefore, the statement that 13.5% of the data falls within two standard deviations is incorrect.

Final Answer

The correct percentage of data that falls within two standard deviations of the mean is approximately 95%.