Python - Python Machine Learning - Mean Median Mode Part 4: Mean, Median, and Mode in Skewed Data

In a perfectly normal distribution, the mean, median, and mode are equal. However, in skewed data, they are different.

Example 1: Right-Skewed Data

data = [1, 2, 3, 4, 100]

print("Mean:", np.mean(data))

print("Median:", np.median(data))

print("Mode:", stats.mode(data).mode[0])

Explanation: The mean is affected by extreme values (100), making it much higher than the median.

Example 2: Left-Skewed Data

data = [1, 50, 51, 52, 53]

print("Mean:", np.mean(data))

print("Median:", np.median(data))

print("Mode:", stats.mode(data).mode[0])

Explanation: Here, a very low value (1) pulls the mean down compared to the median.