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Skewness Calculator

Data (space/comma separated)

✓Skewness

Skewness

0.7594

Mean

5.9091

3.1130

Positively skewed (right tail)

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We're working on a comprehensive educational guide for the Skewness Calculator in your language. The content below is shown in English.

이란 무엇인가 Skewness Calculator?

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Skewness measures the asymmetry of a probability distribution. Positive skew (right tail) means a few large values pull the mean up; negative skew (left tail) means a few small values pull it down.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

공식

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f(x)Skewness = E[(X − μ)³] / σ³ = (Σ(xᵢ − x̄)³) / (n × s³)

변수 설명

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기호	이름	단위	설명
X	data set	—	—
μ	mean	—	—
σ	standard deviation	—	—
s	sample standard deviation	—	—

방법 Skewness Calculator

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1Sample skewness = (n/((n−1)(n−2))) × Σ((xᵢ−x̄)/s)³
2Symmetric: skewness ≈ 0
3Right-skewed: mean > median > mode
4Left-skewed: mean < median < mode

풀어진 예시

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예제 1

주어진 값:Income data with a few very high earners

결과:Positively skewed (right tail); mean > median

예제 2

주어진 값:Test scores where most are near the top

결과:Negatively skewed (left tail)

실제 적용

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Data analysis and exploratory statistics

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Income and wealth distribution analysis

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Financial risk assessment

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Quality control limits

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Hypothesis testing

Skewness Interpretation

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Skewness	Description	Example
< −1	Highly left-skewed	Retirement ages
−1 to −0.5	Moderately left-skewed	Top exam scores
−0.5 to 0.5	Approximately symmetric	Heights
0.5 to 1	Moderately right-skewed	House prices
> 1	Highly right-skewed	Wealth distribution

자주 묻는 질문

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What does skewness tell us?

Positive skewness: tail on right (long right tail). Negative: tail on left. Zero: symmetric.

When is data considered skewed?

Typically, |skewness| > 0.5 indicates noticeable skew. > 1 is highly skewed.

How is skewness different from kurtosis?

Skewness measures asymmetry. Kurtosis measures tail weight (how extreme the values are).

참고 자료

›Skewness — Wikipedia

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Reviewed October 2026

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