The arithmetic mean incorporates all observations equally into the sum. A single extreme value significantly increases the total sum, which, when divided by the sample size, pulls the mean upward and can cause it to exceed a predefined threshold.
Conditions: Using the arithmetic mean as the summary statistic.; The sample consists of a finite set of numerical values.; A decision threshold exists.
The arithmetic mean incorporates all observations equally into the sum. A single extreme value significantly increases the total sum, which, when divided by the sample size, pulls the mean upward and can cause it to exceed a predefined threshold.
Conditions: Using the arithmetic mean as the summary statistic.; The sample consists of a finite set of numerical values.; A decision threshold exists.