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

Question

5, 8, 0, 3, 2, 7, 4
In 3–5 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.

Minimum:
Quartile 1:
Median:
Quartile 3:
Maximum:

use a small sentence to explain, no calculations, just an explanation on how you got the answer, and what the answer is

Answer 1

To find the five-number summary of the dataset (5, 8, 0, 3, 2, 7, 4), I first organized the data in ascending order, which is 0, 2, 3, 4, 5, 7, 8. The five-number summary consists of the minimum (0), Quartile 1 (2), median (4), Quartile 3 (7), and maximum (8).

The box plot based on this summary shows the distribution of the data, indicating a range from 0 to 8 with a concentration of values in the lower range. The box plot reveals that the dataset is slightly skewed to the right, as the median is closer to Quartile 1, and there are outliers (such as 0) affecting the lower end of the range. Overall, the distribution suggests a moderate variability in the number of eggs laid, with some days having significantly lower counts than others.