What type of data representation shows the frequency of occurrences for values?

The selected answer is a frequency table, which is a systematic way of listing and counting the occurrences of each value in a dataset. A frequency table organizes data into distinct categories while indicating how many times each category appears. This makes it easy to see the distribution and frequency of data points across the dataset.

In contrast, while a histogram can also display the frequency of occurrences, it does so through graphical representation and is often used to visualize the distribution of numerical data. A histogram consists of bars that represent the bin width for continuous data rather than a straightforward count shown in a table.

A boxplot serves a different purpose; it provides a summary of the dataset's distribution, showing the median, quartiles, and outliers but does not specifically display the frequency of individual values.

A Pareto diagram combines aspects of a bar chart and a line graph and is used specifically to emphasize the most significant factors in a dataset, usually in the context of identifying and addressing problems. It illustrates items in descending order of frequency but does not present a direct frequency count like a frequency table.

Thus, the frequency table is the most direct method for showing occurrences and counts of values within a dataset, making it the correct choice for this question.