In a histogram, what does the height of a bar represent?

In a histogram, the height of each bar represents the frequency of data within a specified range or interval. This means that taller bars indicate a higher number of data points that fall within that range, providing a visual representation of how often each range appears in the dataset.

For instance, if a particular bar is significantly taller than others, it shows that more values fall into that particular interval compared to other intervals. This feature makes histograms useful for identifying patterns, such as the distribution of values across different ranges, and potential modes within the data set.

The other options do not accurately describe what the height of a bar conveys. The total number of data points is not represented directly by the height of a single bar but by the overall sum of all the heights in the histogram. The sum of all values in the range or the average value of the data is also not what the height indicates; these measures relate to the dataset's calculations rather than its frequency distribution. Thus, the correct understanding of the histogram's structure focuses on the frequency aspect, which is clearly shown through the height of the bars.