The mode of a data set is:
Correct Answer
C) The value that occurs most frequently
Why this is correct: The mode is defined as the value that appears most frequently in a data set. It identifies the most common occurrence, which is useful for understanding market preferences, such as the most popular number of bedrooms or price point in a neighborhood. Why the other choices are wrong: "The arithmetic average of all observations" defines the mean. "The middle value when observations are ranked" defines the median. "The difference between the highest and lowest values" defines the range. Exam tip: Use the acronym MMM: Mean is the average, Median is the middle, Mode is the most frequent.
Why This Is the Correct Answer
The mode is the value occurring most frequently in a data set.
Why the Other Options Are Wrong
Option A: The arithmetic average of all observations
The arithmetic average of all observations is the mean.
Option B: The middle value when observations are ranked
The middle value when observations are ranked is the median.
Option D: The difference between the highest and lowest values
The difference between the highest and lowest values is the range, a measure of spread rather than central tendency.
Most Often
Most Often — mode and most both start the same way. Mean averages, median sits in the middle.
How to use: Reach for the mode with grouped or categorical data, where exact repetition actually occurs.
Exam Tip
Two modes in a price distribution usually means two submarkets. That diagnostic is the mode's real value in appraisal.
Common Mistakes to Avoid
- -Confusing mode with median
- -Seeking a mode in continuous unrounded price data
- -Missing bimodality as a submarket signal
Concept Deep Dive
Analysis
The mode is the value occurring most frequently in a data set. Among the three measures of central tendency it is the least used in appraisal, because continuous data such as sale prices rarely repeat exactly and a data set may have no mode at all or several. Where it earns its place is with grouped or categorical data: the most common bedroom count in a subdivision, the most frequent lot size, or the modal price bracket in a frequency distribution, which identifies where market activity concentrates. It also has a diagnostic use — a bimodal distribution, with two distinct peaks, usually indicates that two separate submarkets have been analysed together and that the market area should be split. The distractors name the other measures: the arithmetic average is the mean, the middle ranked value is the median, and the difference between the extremes is the range.
Background Knowledge
The mode is the most frequently occurring value. It is most useful with grouped or categorical data, and a bimodal distribution often indicates that two submarkets have been combined in one analysis.
Real-World Application
An appraiser identifies a modal price bracket of $240,000 to $260,000 in a frequency distribution and notes a second peak indicating a distinct submarket.
More Statistics Questions
A set of comparable sales has a mean of $250,000 and a standard deviation of $20,000. What is the coefficient of variation?
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