What statistical measure shows the most frequently occurring rental value?

The statistical measure that shows the most frequently occurring rental value is the mode. The mode is specifically defined as the value that appears most often in a data set. In the context of rental values, identifying the mode allows appraisers to determine which rental price is most typical or prevalent within a given market or sample. This can be particularly useful for understanding market trends and making informed pricing decisions.

In contrast, the median represents the middle value in a data set when it is ordered from least to greatest, while the mean calculates the average by summing all values and dividing by the number of observations. The standard deviation measures the dispersion or variability of the data around the mean, indicating how much the rental values tend to deviate from the average. None of these other measures specifically identify the most frequently occurring value, which is why mode is the appropriate answer in this scenario.