Which of the following diagrams would be useful in depicting the median value in the data?

The correct answer is the Box plot.

Key Points 

A box plot, also known as a box-and-whisker plot, is a graphical representation of statistical data that displays the median, quartiles, and outliers of a dataset.

• It provides a visual representation of the central tendency and spread of the data.
• The median value represents the middle value of a dataset when it is arranged in ascending or descending order.
• In a box plot, the median is depicted by a horizontal line within a box that represents the interquartile range (IQR).
• The IQR encompasses the middle 50% of the data, with the median dividing the dataset into two equal halves.

On the other hand, the other options are not specifically designed to represent the median value in the data:

Therefore, the most suitable diagram for depicting the median value in the data is option 2) Box plot.

Additional Information

Bar chart: A bar chart is used to compare categories or groups by displaying rectangular bars of varying lengths. It is not specifically designed to represent the median value.

Pie chart: A pie chart is used to represent the proportion or percentage of different categories in a whole. It does not directly represent the median value of the data.

Scatter plot: A scatter plot is used to display the relationship between two variables. It uses points or markers to represent individual data points, but it does not directly represent the median value.

Therefore, the most suitable diagram for depicting the median value in the data is option 2) Box plot.