Which statement correctly identifies a property of the mean?

Which statement correctly identifies a property of the mean?

• A. It is used to summarize variability in data
• B. It is simple to calculate
• C. It is always equal to the maximum value
• D. It is the most frequent value

Answer: (B)

The mean is a measure of central tendency that represents the center of the data by averaging all values. It is the value you get when you add up every observation and divide by how many observations there are. That simple summing-and-dividing process is what makes the mean easy to calculate. It doesn’t describe how spread out the data are—that would be variability or dispersion measures like standard deviation or variance. It also isn’t necessarily equal to the maximum value; that would only happen in a trivial case where all observations are the same (or under a degenerate situation). And it isn’t the most frequent value; the most frequent value is the mode.

The mean is a measure of central tendency that represents the center of the data by averaging all values. It is the value you get when you add up every observation and divide by how many observations there are. That simple summing-and-dividing process is what makes the mean easy to calculate.

It doesn’t describe how spread out the data are—that would be variability or dispersion measures like standard deviation or variance. It also isn’t necessarily equal to the maximum value; that would only happen in a trivial case where all observations are the same (or under a degenerate situation). And it isn’t the most frequent value; the most frequent value is the mode.