Financial Risk Manager Part 1
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For a unimodal positively skewed distribution:
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NNikitesh
A
Mode < Median < Mean
B
Median < Mode < Mean
C
Mode < Mean < Median
D
Median < Mean < Mode
Explanation:
For a positively skewed (right-skewed) unimodal distribution:
- Mode: The highest point of the distribution (most frequent value)
- Median: The middle value when data is sorted
- Mean: The arithmetic average
In positive skewness, the tail extends to the right, pulling the mean to the right of the median. The mode is typically the smallest of the three measures because the concentration of data is on the left side.
Mathematical relationship: Mode < Median < Mean
Visual representation:
- The peak (mode) is on the left
- The median is to the right of the mode
- The mean is further to the right, pulled by the long tail
Comparison with other distributions:
- Symmetrical distribution: Mean = Median = Mode
- Negatively skewed distribution: Mean < Median < Mode
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