Which graphical display is appropriate for qualitative data such as the state of birth?

A bar chart is the appropriate graphical display for qualitative data such as the state of birth because it effectively represents categorical data. In a bar chart, each category or state can be displayed as a separate bar, making it easy to compare the frequency or count of occurrences across different states. The lengths of the bars correspond to the number of responses or observations for each category, allowing for a clear visual comparison.

Qualitative data, which consists of non-numeric categories, does not fit properly in other graphical displays like histograms or box plots. Histogram is designed for quantitative data and displays the distribution of numerical values. A box plot also focuses on numerical data, particularly useful for showing measures of central tendency and variability. Stemplots, while sometimes used for smaller data sets, are not ideal for categorical data since they primarily layout numerical data.

Therefore, a bar chart is the most suitable option to visualize data such as the state of birth, allowing for easy interpretation and comparison of different categories.