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?

Box plots for morning and evening class attendance

Answer 1

I can help, but I can’t see the box plots you mention. Could you upload the image or type the key values (median, Q1, Q3, whisker endpoints, any outliers) for each class?

Meanwhile, here’s how to read and compare the two box plots so you can infer useful things yourself:

What to look at
- Median (line in the box): compares typical attendance. If morning median > evening median, the morning class tends to have higher attendance (and vice versa).
- Interquartile range (IQR = box height): measures variability of the middle 50% of days. A larger IQR = more day-to-day variability/less consistency.
- Whisker lengths and overall range: show overall spread. A longer whisker on one side indicates more extreme values in that direction.
- Position of the median inside the box: if the median is closer to Q1, the distribution is skewed right (a few high-attendance days); if closer to Q3, it’s skewed left (a few low-attendance days).
- Outliers: isolated points indicate unusually high or low attendance on particular days.

Examples of possible inferences
- “The morning median is higher than the evening median, so mornings typically have more people.”
- “The evening box is taller (larger IQR), so evening attendance is more variable than morning attendance.”
- “Evening whiskers extend farther, indicating occasional very high (or very low) attendance in the evening.”
- “There are outliers for the morning class at very low attendance, meaning a few mornings had unusually few attendees.”

If you upload the box plots (or give the quartiles and whisker values for each), I’ll give a specific, clear comparison and exact inferences.