What type of graph is most effective in showing frequency distributions?

A histogram is the most effective type of graph for showing frequency distributions because it visually represents the distribution of numerical data by displaying the frequency of data points that fall within specified ranges (or bins). Each bar in a histogram corresponds to a bin and its height indicates the number of observations that fall within that range. This allows for a clear and immediate understanding of how data is distributed across different intervals, making it easy to identify patterns, trends, and outliers in the data set.

Control charts are primarily used in quality control processes to monitor how a process varies over time and are not designed to show frequency distributions.

Scatter diagrams are utilized to illustrate the relationship between two variables, focusing on correlation rather than frequency distribution.

Pareto charts emphasize the most significant factors in a dataset based on the principle that a small number of causes often lead to a large percentage of the effect (the 80/20 rule), but they do not depict frequency distributions in a straightforward manner like histograms do.

Thus, the histogram stands out as the preferred method for effectively conveying frequency distributions.