The following dataset represents the number of eggs laid in the chicken coop each day for the past week.

5, 8, 0, 3, 2, 7, 4
In three short sentences, find the five-number summary, create a box plot, and describe the distribution of data using the box plot and explain what the distribution means.

1 answer

The five-number summary of the dataset (5, 8, 0, 3, 2, 7, 4) is as follows: minimum = 0, Q1 = 2, median (Q2) = 4, Q3 = 7, and maximum = 8. The box plot displays this summary, with a box from Q1 to Q3, a line at the median, and "whiskers" extending to the minimum (0) and maximum (8) values. The distribution is right-skewed, indicated by a longer whisker on the right side of the box plot, suggesting that while most days yield a moderate number of eggs, there are a few days with significantly higher counts.