Step 1: Understanding the Concept:
Measures of central tendency summarize a data set with a single representative value.
Step 2: Detailed Explanation:
- The Mean (Arithmetic Average) is calculated by adding all the values and dividing by the total number of scores ($ \bar{X} = \frac{\sum X}{N} $). Every score's specific value (magnitude) directly influences the sum.
- The Median is just the middle position; changing the magnitude of extreme scores doesn't change it.
- The Mode is just the frequency.
- Range is a measure of variability, not central tendency.
Step 3: Final Answer:
The Mean is the only measure that takes every individual score's magnitude into account.