What is a histogram designed to display?

A histogram is specifically designed to display the frequency distribution of a dataset. This graphical representation allows one to visualize how data points are distributed across a range of values. Each bar in a histogram represents the frequency (or count) of data points that fall within a specific interval, known as a bin. By observing the shape of the histogram, one can quickly assess characteristics such as the central tendency, variability, and overall distribution patterns of the data, such as whether it is skewed or if there are any peaks (modes).

The other options do not align with the primary function of a histogram. For instance, relationships between two variables are better represented through scatter plots or line graphs. Correlation coefficients quantify the strength and direction of a relationship between two continuous variables, rather than displaying frequency distributions. Percentiles are typically calculated to indicate the position of a specific value within a data set but are not the focus of a histogram's design.