# Skewness Calculator Calculate sample and population skewness to measure distribution asymmetry > Canonical page: https://elysiatools.com/en/tools/skewness-calculator - **Category:** Math & Numbers - **Keywords:** skewness, distribution shape, statistics, asymmetry, right skew, left skew ## Overview Calculate skewness for a numeric dataset. Skewness measures whether a distribution leans left or right. Positive values indicate a longer right tail, negative values indicate a longer left tail, and values near zero indicate approximate symmetry. Use this tool to inspect distribution shape before reporting averages, applying normality assumptions, or comparing datasets. ## Inputs - **Dataset** (textarea): e.g. 2, 3, 4, 5, 6, 30 - **Skewness Type** (select) - **Decimal Places** (number) - **Include Summary Statistics** (checkbox) ## When to use - When you need to verify if a dataset meets the normality assumptions required for parametric statistical tests. - When deciding whether to report the mean or the median as the best measure of central tendency for a dataset. - When analyzing financial returns, test scores, or operational metrics to identify the presence of extreme outliers. ## How it works - Paste or type your numeric dataset into the input field, separating values with commas, spaces, or newlines. - Select whether you want to calculate the adjusted sample skewness, population skewness, or both. - Choose your preferred number of decimal places and toggle summary statistics if you need additional context. - View the calculated skewness values instantly to determine the direction and magnitude of your distribution's tail. ## Use cases - Financial analysts evaluating the distribution of investment returns to assess downside risk and market volatility. - Researchers checking survey data or experimental results for normality before running ANOVAs or t-tests. - Quality control engineers analyzing manufacturing defect rates to see if errors cluster around a specific extreme. ## Frequently asked questions ### What does a positive skewness value mean? A positive value indicates a right-skewed distribution, meaning the right tail is longer or fatter, and the mean is typically greater than the median. ### What is the difference between sample and population skewness? Population skewness assumes your data represents the entire population, while sample skewness applies a correction factor to estimate the skewness of a larger population from a smaller sample. ### What skewness value is considered symmetric? A skewness value between -0.5 and 0.5 is generally considered approximately symmetric. ### Can I include summary statistics in the output? Yes, you can check the 'Include Summary Statistics' option to generate additional metrics alongside the skewness calculation. ### How should I format my input data? You can enter numbers separated by commas, spaces, or line breaks. The tool will automatically parse the numeric values. ## Related tools - [Adjusted R-Squared Calculator](https://elysiatools.com/en/tools/adjusted-r-squared-calculator): Calculate adjusted R squared from R squared, sample size, and predictor count - [Bearing Life L10 Calculator](https://elysiatools.com/en/tools/bearing-life-l10): Calculate the basic rating life of a rolling bearing: L10 = (C/P)^p, with p = 3 for ball bearings and p = 10/3 for roller bearings. When a speed is provided, converts to L10h in operating hours. - [Chain Sprocket Ratio Calculator](https://elysiatools.com/en/tools/chain-sprocket-ratio): Calculate the ratio, driven speed and chain linear speed of a chain drive. i = z₂/z₁ = n₁/n₂, chain speed v = z₁·p·n₁/60000. Enter the pitch to compute chain speed. - [Conditional Probability Calculator](https://elysiatools.com/en/tools/conditional-probability-calculator): Calculate P(A given B) from joint probability P(A and B) and condition probability P(B) - [Correlation Calculator](https://elysiatools.com/en/tools/correlation-calculator): Calculate Pearson and Spearman correlation coefficients from paired numeric data - [Covariance Calculator](https://elysiatools.com/en/tools/covariance-calculator): Calculate sample and population covariance from paired numeric data - [Drag Force Calculator (F_D = ½·ρ·v²·C_D·A)](https://elysiatools.com/en/tools/drag-force-calculator): Compute the drag force on a body in a fluid stream: F_D = ½·ρ·v²·C_D·A (N), where ρ is the fluid density, v the free-stream velocity, C_D the drag coefficient (shape- and Reynolds-dependent), and A the reference (frontal projected) area. A built-in shape library supplies typical high-Re C_D values: sphere 0.47, hemisphere 0.42, long cylinder 0.81, disk/flat plate 1.17, cube 1.05, streamlined airfoil 0.04, long streamlined ellipsoid 0.07, cone 0.50; or choose 'Custom' to enter C_D directly. Optionally, with dynamic viscosity μ and characteristic length L, the Reynolds number Re = ρ·v·L/μ is computed, and the power dissipated by drag P = F_D·v (W). Density in kg/m³/g/cm³, velocity in m/s/km/h, area in m²/cm²/mm², length in m/cm/mm. - [F Distribution Calculator](https://elysiatools.com/en/tools/f-distribution-calculator): Calculate F distribution density, cumulative probability, and right-tail probability from numerator and denominator degrees of freedom ## Samples - [Web Image Processing Python Samples](https://elysiatools.com/en/samples/web-image-processing-python): Web Python image processing examples using PIL/Pillow including reading, saving, resizing, and format conversion - [Android Image Processing Java Samples](https://elysiatools.com/en/samples/android-image-processing-java): Android Java image processing examples including reading/saving images, scaling, and format conversion - [Android Image Processing Kotlin Samples](https://elysiatools.com/en/samples/android-image-processing-kotlin): Android Kotlin image processing examples including reading/saving images, scaling, and format conversion - [Web Image Processing Rust Samples](https://elysiatools.com/en/samples/web-image-processing-rust): Web Rust image processing examples including image read/save, scaling, and format conversion ## Related content - [Audio Encoding and Format Conversion Tools](https://elysiatools.com/en/hubs/audio-convert): Compare audio format conversion, bitrate changes, sample-rate conversion, codec swaps, and export tools in one hub for delivery and archive workflows. - [Image Format Conversion and Animated Export Tools](https://elysiatools.com/en/hubs/image-convert): Compare image format converters for JPG, PNG, GIF, AVIF, WebP, TIFF, ICO, base64, and animation-friendly exports in one hub. - [JSON Interchange and Format Translation Tools](https://elysiatools.com/en/hubs/json-convert): Compare JSON conversion tools for CSV, YAML, TOML, GraphQL, XML, Markdown, Excel, BSON, EDN, and related structured formats in one hub. - [Color Space Conversion Tools for Web and Print](https://elysiatools.com/en/hubs/design-convert): Curated tools for web-to-print color space conversion in one hub.