The difference between the medians in box plots is a straightforward comparison that provides insights into the central tendency of datasets. By visually examining the plots, you can select the correct answer from the given options. Here option A is correct.
The box plot is a graphical representation of the five-number summary of a dataset, which includes the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
The median, or the second quartile (Q2), is the middle value of the dataset when it is ordered. The difference between the medians of two box plots provides insights into the central tendency of the two datasets.
To determine the difference between the medians, you compare the position of the medians on the box plots. If the median of the first dataset is higher than the median of the second dataset, the difference is positive; if it's lower, the difference is negative.
Since the answer choices only include non-negative integers, it suggests a simple comparison. If the medians are equal, the difference is zero (Option A). If the median of the first dataset is greater by 2, 4, or 7, the corresponding options are B, C, and D, respectively.
In a box plot, the median is represented by the line inside the box. By visually inspecting the box plots or analyzing the data, you can determine the relative positions of the medians and select the appropriate answer choice. Here option A is correct.