To find the five-number summary of the dataset (5, 8, 0, 3, 2, 7, 4), we first sort the data: 0, 2, 3, 4, 5, 7, 8. The minimum is 0, the first quartile (Q1) is 2, the median (Q2) is 4, the third quartile (Q3) is 7, and the maximum is 8.
The box plot displays a minimum of 0, Q1 at 2, a median at 4, Q3 at 7, and a maximum at 8.
The distribution appears slightly skewed to the right, indicating that while most days have a moderate number of eggs laid, there are a few days with significantly higher counts, which pulls the average upward. This skew also suggests that while most of the time the egg production is low to moderate, there are instances of high production, representing variability in laying behavior.