To find the five-number summary of the dataset 5, 8, 0, 3, 2, 7, 4, we first need to sort the data in ascending order: 0, 2, 3, 4, 5, 7, 8. The five-number summary includes the minimum (0), the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum (8).
- Minimum: 0
- Q1: 2
- Median (Q2): 4
- Q3: 7
- Maximum: 8
A box plot based on this summary would show a box extending from Q1 (2) to Q3 (7) with a line at the median (4). The "whiskers" would extend from 0 (minimum) to 2 and from 7 to 8 (maximum). The distribution appears to be slightly right-skewed, as the median is closer to the lower quartile and the upper tail is longer (with values like 7 and 8). This suggests that while most days see a moderate number of eggs, there are a few days with a significantly higher count, indicating variability in egg production.