When Marques commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 37 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, what percentage of his commutes will be between 23.5 and 50.5 minutes? Answer Attempt 1 out of 2

Using the empirical rule, also known as the 68-95-99.7 rule, we can analyze Marques' commute times. The mean is 37 minutes, and the standard deviation is 4.5 minutes. According to the rule, approximately 68% of the data fall within one standard deviation (32.5 to 41.5 minutes), about 95% within two standard deviations (28 to 46 minutes), and roughly 99.7% within three standard deviations (23.5 to 50.5 minutes). So, you can expect around 99.7% of his commutes to fall between those two times! Understanding how the empirical rule works can also help you become a data-savvy commuter! If you know the average time and how much it varies, you can better plan your schedule. For instance, if you’re looking to arrive on time consistently, seeing that most of Marques’ commutes are within 23.5 and 50.5 minutes gives you a pretty good cushion when setting out for work!