Concept:
Measures of central tendency are statistical tools used to describe the center or typical value of a dataset. The three main measures are
Mean, Median, and Mode.
Among these, the
Mean (Arithmetic Average) is highly sensitive to extreme values or outliers because it is calculated using all observations in the dataset.
Step 1: Understand the effect of extreme values on measures of central tendency.
- Median – Represents the middle value and is less affected by extreme values.
- Mode – Represents the most frequent value and is generally unaffected by outliers.
- Mean – Calculated using all values; extreme values significantly influence it.
- Quartile – Used to divide data into parts rather than measure central tendency.
Therefore, the measure most affected by extreme values is the
Mean.