Final answer:
A box plot reveals the median, interquartile range, and the range of a dataset but does not explicitly provide the mean.
Step-by-step explanation:
A box plot, also known as a box and whisker plot, can provide several key pieces of statistical information about a data set. From a box plot, one can infer the median, which is depicted as a line within the box. This value is the middle point of the data when it is arranged in ascending or descending order. Additionally, the box plot displays the interquartile range (IQR), which is the range of the middle 50% of the data. The IQR is important for understanding the spread and variability of a data set. The range of the dataset, which is the difference between the maximum and minimum values, can also be gathered from the whiskers of the box plot. Therefore, the information that can be inferred from a box plot includes the range, the median, and the IQR.
The notion of the mean, or average of the data, however, is not directly represented in a box plot. Although you can gain an understanding of the data's distribution from the box plot, calculation of the mean requires the individual data points.