Statistics, Swimming, and the Road to the Bell Curve

The summer MAT 1272 Statistics course continues to move at an energetic pace. We are nearly finished with our study of binomial distributions and are about to transition into continuous random variables and one of the most famous probability distributions in all of statistics: the normal distribution.

Earlier in the course, we discussed the Empirical Rule as a way to understand how data are distributed around a mean. At the time, students had not yet learned about probability distributions. Now that students understand random variables and probability distributions, we are revisiting the Empirical Rule from a new perspective. Soon we will connect probabilities with areas under the Gaussian curve and begin using the normal distribution to answer meaningful probability questions.

Yesterday, students completed their first exam. I have also posted a comprehensive review worksheet that covers many of the topics we have studied so far, including basic probability concepts, conditional probability, simple linear regression, correlation, random variables, and binomial distributions. These topics provide a strong foundation for the material that lies ahead.

One of the most rewarding aspects of teaching this course has been watching students become increasingly comfortable with the language of statistics. They are beginning to use statistical terminology with confidence, ask thoughtful questions, and support one another during class discussions and group activities. It is encouraging to see students engage with ideas that initially seemed unfamiliar and gradually make them their own.

The class remains active and interactive. Students regularly stop the lesson to ask questions, seek clarification, or make connections between concepts. Those moments of curiosity and engagement are often the most enjoyable part of teaching.

Overall, this has been a wonderful start to the summer session. I feel grateful for such an enthusiastic group of students and for the opportunity to spend these weeks exploring statistics together. This weekend I plan to recharge with a good swim, catch up on a few projects, and enjoy plenty of fresh fruit before returning on Monday ready for another week of teaching.

It is hard to believe that only eight class meetings remain. There is still much to learn, but I am excited to see how much growth these students will continue to demonstrate in the weeks ahead.