Introduction
Arithmetic mean
Summary
Instruction
The median is resistant to extreme observations. Consider the table below:
| Set | Sorted | Median |
|---|---|---|
| 1, 1, 1, 1 | 1, 1, 1, 1 | 1 |
| 1, 1, 1, 9 | 1, 1, 1, 9 | 1 |
| 1, 1, 1, 97 | 1, 1, 1, 97 | 1 |
| 1, 1, 1, 997 | 1, 1, 1, 997 | 1 |
| 1, 1, 1, -1003 | 1, 1, 1, -1003 | 1 |
Changing one element in the set in the given example doesn't change the median. This is completely different from the behavior of the arithmetic mean.
