गणित

Skewness Calculator

विषमता कैलकुलेटर

Data (space/comma separated)

✓विषमता

विषमता

0.7594

माध्य

5.9091

3.1130

Positively skewed (right tail)

🌐

Detailed Guide Coming Soon

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

क्या है Skewness Calculator?

▾

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.

PrimeCalcPro provides professional-grade tools trusted by businesses and academics.

सूत्र

▾

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

चर विवरण

▾

प्रतीक	नाम	इकाई	विवरण
X	data set	—	—
μ	mean	—	—
σ	standard deviation	—	—
s	sample standard deviation	—	—

कैसे Skewness Calculator

▾

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

हल किए गए उदाहरण

▾

उदाहरण 1

दिया गया:Income data with a few very high earners

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

उदाहरण 2

दिया गया:Test scores where most are near the top

परिणाम:Negatively skewed (left tail)

वास्तविक अनुप्रयोग

▾

🏗️

Data analysis and exploratory statistics

🔬

Income and wealth distribution analysis

📊

Financial risk assessment

🏥

Quality control limits

⚙️

Hypothesis testing

Skewness Interpretation

▾

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

अक्सर पूछे जाने वाले प्रश्न

▾

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).

संदर्भ

›Skewness — Wikipedia

Mathematically verified

Reviewed October 2026

Our methodology

साप्ताहिक गणित युक्तियाँ प्राप्त करें

12,000+ सब्सक्राइबर्स से जुड़ें जिन्हें हर हफ्ते कैलकुलेटर टिप्स मिलते हैं।

🔒

100% मुफ़्त

कोई साइनअप नहीं

✓

सटीक

सत्यापित सूत्र

⚡

तत्काल

तुरंत परिणाम

📱

मोबाइल अनुकूल

सभी उपकरण