Which measure is described as a crude measure because the mean and mode can be very different?

Which measure is described as a crude measure because the mean and mode can be very different?

• A. Mean
• B. Median
• C. Descriptive Statistics
• D. Mode

Answer: (D)

The idea being tested is how different measures of central tendency relate to the shape of a distribution. The mode is described as a crude measure because it only reports the most frequent value and ignores all other data points. In distributions that are skewed or have outliers, the most common value can be far from the average value that the mean represents. The mean takes every value into account, so it can be pulled toward extreme scores, while the mode stays fixed at the peak frequency. This mismatch between the most frequent value and the overall average is why the mode is considered a crude summary of central tendency. For example, in a set like 1, 1, 1, 1, 10, the mode is 1, but the mean is 2.8, illustrating how the mode can diverge from the mean.

The idea being tested is how different measures of central tendency relate to the shape of a distribution. The mode is described as a crude measure because it only reports the most frequent value and ignores all other data points. In distributions that are skewed or have outliers, the most common value can be far from the average value that the mean represents. The mean takes every value into account, so it can be pulled toward extreme scores, while the mode stays fixed at the peak frequency. This mismatch between the most frequent value and the overall average is why the mode is considered a crude summary of central tendency. For example, in a set like 1, 1, 1, 1, 10, the mode is 1, but the mean is 2.8, illustrating how the mode can diverge from the mean.