reply to the disscussion post: NO AI

For this discussion, I looked at how long it took for men and women to feel the first signs of relief after taking a new migraine medication. For the men, the five-number summary was: minimum 3 minutes, first quartile 21 minutes, median 35 minutes, third quartile 72 minutes, and maximum 85 minutes. Their average time was about 41.15 minutes, with a sample standard deviation of around 27.95 minutes.

For the women, the minimum was 2 minutes, first quartile 15 minutes, median 27 minutes, third quartile 35 minutes, and maximum 54 minutes. Their average time was about 26.23 minutes, with a sample standard deviation of about 15.62 minutes.

When I compare these two groups, it looks like the medication worked faster for the women overall, since their average and median times were both lower. The times for women were also more consistent and less spread out compared to the men. The men's results were a lot more spread out, which shows in their larger range and higher standard deviation.

Looking at the side-by-side boxplots, you can really see this difference. The women's boxplot is shorter and shifted lower, meaning most of their relief times were quicker and closer together. The men's boxplot is more spread out with a higher peak. This makes me think the medication might have more predictable results for women in this sample.