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SigmaCalc
Is your data lopsided, and which way?
Skewness quantifies asymmetry: a value near zero means the distribution is roughly symmetric, a positive value means a longer tail stretches to the right (a few unusually high values), and a negative value means the opposite — a longer tail to the left.
Skewed data pulls the mean away from the median — income, home prices, and wait times are all classic right-skewed distributions where a handful of large values inflate the average well above what's 'typical', which is exactly why skewness is worth checking before trusting a mean.
Skewness
0.824
right-skewed (long tail to the right)
What you entered
Mean
Σx ÷ 10= 12.7Second moment: average of (x−mean)²
Σ(x−mean)² ÷ n= 17.81Third moment: average of (x−mean)³
Σ(x−mean)³ ÷ n= 61.956Standard deviation (population)
√17.81= 4.2202Skewness: third moment ÷ std dev³
61.956 ÷ 4.2202³= 0.8243Interpretation
skewness = 0.8243= right-skewed (long tail to the right)Result
Skewness: 0.824
Skewness of 0.824 — this dataset is right-skewed (long tail to the right).