Question

A local recreation center offers a drop-in exercise class in the morning and in the evening. The attendance data for each class over the first month is shown in the box plots at the right. What can you infer about the class attendance?

Answer 1

I don’t have the box plots you’re looking at. Could you upload the image or type the five-number summaries (minimum, Q1, median, Q3, maximum) for each class?

Meanwhile, here’s a short checklist and some ready-made sentence templates you can use once you look at the plots:

Things to compare
- Median: which class’s median is higher? That tells you which class typically has more attendees.
- IQR (Q3 − Q1): which class has a larger IQR? That shows which class’s typical attendance is more variable.
- Whisker lengths / range: a longer overall range or longer whiskers indicate more extreme variation in attendance.
- Outliers: isolated points beyond the whiskers show occasional unusually low or high attendance.
- Skewness: if one whisker or one side of the box is longer, the distribution is skewed (longer upper whisker → right-skewed, longer lower whisker → left-skewed).
- Overlap of boxes: if boxes overlap a lot, typical attendances are similar even if medians differ.

Example interpretation sentences (fill in with values you see)
- “The evening class has a higher median attendance (about X) than the morning class (about Y), so on average more people attend in the evening.”
- “The morning class has a larger IQR, so its typical attendance is more variable than the evening class.”
- “The evening class’s whiskers are short and its box is tight, indicating more consistent attendance.”
- “There are outliers for the morning class at (values), meaning occasionally the morning attendance is unusually low/high.”
- “Both classes’ boxes overlap, so while one class’s median is higher, their typical ranges are similar.”

If you upload the plots or give the five-number summaries, I’ll write a specific, concise interpretation.