What type of graph displays the frequency distribution of data?

A histogram is the appropriate choice for displaying the frequency distribution of data. This type of graph organizes data into bins or intervals on the x-axis and shows the number of data points (or frequency) that fall within each interval on the y-axis. This visual representation allows for the quick assessment of the distribution shape, central tendency, variability, and potential outliers within the dataset.

Histograms are especially useful when dealing with large sets of continuous numerical data, where it's important to see how data points are distributed across different ranges. This enables analysts and decision-makers to easily identify patterns or trends in the data, such as whether it is normally distributed, skewed, or contains multiple modes.

In contrast, the run chart primarily displays data points over time, focusing more on trends and patterns rather than frequency. A line graph connects data points to show changes over an interval, which is useful for visualizing continuous data but does not relate directly to frequency distribution. A pie chart represents parts of a whole as sections of a circle, effective for categorical data but not suited for frequency analysis.