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Statistics

Descriptive Statistics calculators

46 calculators
Coefficient of Variation Calculator Calculate CV from raw data or enter mean and SD directly. Includes unbiased correction, two-dataset comparison, reverse-solve, and field benchmarks. Open Correlation Coefficient Calculator Calculate Pearson r, Spearman rho, or Kendall tau with p-value, t-statistic, 95% confidence interval, and the regression equation in one click. Open Covariance Calculator Calculate covariance of two data sets instantly. Get population and sample covariance, Pearson correlation r, standard deviations, variances, and a deviation table. Open Median Calculator Find the median, mean, mode, quartiles, IQR, standard deviation and outliers for any data set. Enter comma-separated values for a full descriptive-statistics summary. Open Midrange Calculator Calculate the midrange of any data set and compare it with the mean, median and range. Paste comma-separated values for instant results with show-your-work steps. Open Mode Calculator Find the mode of any data set and get a full summary: mean, median, range, min, max, sum, count, and a complete frequency breakdown table. Open Outlier Calculator Find outliers in any data set using the IQR rule, Z-score, or Modified Z-score (MAD). Get Q1, Q3, fences, five-number summary, and flagged values instantly. Open Percentile Calculator Find the k-th percentile value or the percentile rank of any number. Paste data, pick a mode, and get a five-number summary and full percentile table instantly. Open Quartile Calculator Calculate Q1, Q2, Q3, IQR, quartile deviation, and Tukey outlier fences for any dataset. Choose inclusive or exclusive method and see show-your-work steps. Open Range Calculator Find the range, IQR, mean, median, mode, standard deviation, variance, and more. Paste comma-separated numbers for a complete statistical summary. Open Skewness Calculator Calculate skewness and excess kurtosis from a data set. Get G1, g1, Pearson median skewness, standard errors, mean, median, and a plain-English interpretation. Open Standard Deviation Calculator Find population and sample standard deviation, mean, median, mode, range, variance, CV, sum of squares, and margin of error for any data set instantly. Open Variance Calculator Calculate variance and standard deviation for any data set. Get mean, median, range, CV, and a per-value deviation table instantly. Open Z-Score Calculator Find z-scores, percentiles, one- and two-tailed probabilities, or reverse-solve for the raw score. Covers four modes for the standard normal distribution. Open 5 Number Summary Calculator Find the minimum, Q1, median, Q3, and maximum of any dataset. Includes IQR, outlier detection, a box-plot visual, and a step-by-step solution. Open Average Rating Calculator Enter your 1-5 star vote counts to instantly calculate weighted average rating, total reviews, star percentages, and quality band with the Wilson score. Open Cohen's d Calculator Calculate Cohen's d effect size instantly. Enter means and standard deviations for two groups or one sample. Includes pooled SD, r, and small/medium/large interpretation. Open Constant of Proportionality Calculator Find the constant of proportionality k instantly. Solve for k, x, or y in direct or inverse proportion. See worked steps, a value table, and a graph. Open Matthews Correlation Coefficient Calculator (MCC) Calculate the Matthews Correlation Coefficient from your confusion matrix. Get MCC, sensitivity, specificity, precision, accuracy, F1 score, and normMCC instantly. Open Decile Calculator Calculate all 9 deciles (D1-D9) from any dataset. Paste your numbers, get sorted values, positions, interpolated decile points, and a full step-by-step breakdown. Open Descriptive Statistics Calculator Paste any data set and instantly get mean, median, mode, standard deviation, variance, quartiles, IQR, skewness, kurtosis, and outliers - with step-by-step working. Open Dispersion Calculator Calculate range, IQR, variance, standard deviation, CV, SEM and MAD for any dataset. Population or sample mode, with full step-by-step working shown. Open Error Propagation Calculator Propagate measurement uncertainty through add, subtract, multiply, divide, power, and ln. Get absolute and relative error with a full step-by-step breakdown. Open Grouped Data Standard Deviation Calculator Calculate mean, variance, and standard deviation for grouped frequency data. Enter up to 8 class intervals with frequencies for sample or population results. Open Index of Qualitative Variation (IQV) Calculator Calculate the Index of Qualitative Variation (IQV) for any categorical dataset. Enter raw counts or percentages for up to 10 categories and get IQV instantly. Open IQR Calculator - Interquartile Range Find the IQR, Q1, Q2 and Q3 quartiles, five-number summary, and outliers for any dataset. Choose exclusive or inclusive method. Step-by-step solution shown. Open Least to Greatest Calculator Sort any list of numbers, fractions, decimals, and percentages from least to greatest or greatest to least. Includes count, min, max, range, mean, and median. Open Mean, Median and Mode Calculator Calculate mean, median, mode, range, variance, standard deviation, and quartiles for any data set. Shows step-by-step work and a frequency chart. Open Mean Absolute Deviation (MAD) Calculator Calculate the mean absolute deviation (MAD) of any dataset. Choose mean, median, or a custom central point, get a step-by-step breakdown, and learn what MAD means. Open Median Absolute Deviation (MAD) Calculator Calculate the median absolute deviation (MAD) of any dataset instantly. Includes the normalized MAD, outlier count, step-by-step working, and a dispersion chart. Open Minimum and Maximum Calculator Find the minimum, maximum, range, mean, and median of any list of numbers instantly. Paste up to 50 values, see a sorted breakdown and normalization table. Open MSE Calculator Calculate Mean Squared Error (MSE), RMSE, SSE, MAE, MAPE, and R-squared instantly. Enter actual and predicted values, see a step-by-step breakdown and residuals chart. Open Pearson Correlation Calculator Calculate Pearson r, R-squared, t-statistic, two-tailed p-value, and 95% confidence interval from paired data. Instant results with full step-by-step working. Open Percentile Rank Calculator Find the percentile rank of any value in a dataset using three methods: cumulative, midpoint, and exclusive. Shows all steps, a curve visual, and reverse lookup. Open Pooled Standard Deviation Calculator Calculate pooled standard deviation for 2-4 groups. Enter sample size and SD per group to get pooled SD, pooled variance, degrees of freedom, and step-by-step working. Open Population Variance Calculator Calculate population variance (sigma squared), standard deviation, mean, and sum of squares instantly. Enter up to 20 values and see every step of the working. Open Process Capability Index Calculator Calculate Cp, Cpk, Cpm, Pp, and Ppk instantly. Enter your USL, LSL, mean, and standard deviation to get sigma level, PPM defect rate, and a full capability assessment. Open Relative Standard Deviation Calculator Calculate relative standard deviation (RSD) and %CV from raw data or from a mean and SD. Sample and population modes, step-by-step work, and a data-quality rating. Open Simpson's Diversity Index Calculator Calculate Simpson's Diversity Index (D), Gini-Simpson (1-D), and Reciprocal Index (1/D) for up to 10 species. Get richness, evenness, and a full step-by-step breakdown. Open Spearman's Correlation Calculator Calculate Spearman's rank correlation (rho) with p-value, t-statistic, tie handling, step-by-step ranks, and strength interpretation. Free and instant. Open Standard Deviation Index (SDI) Calculator Calculate the Standard Deviation Index (SDI) instantly. Enter your lab mean, group mean, and group SD to measure proficiency testing bias and interpret performance. Open Standard Deviation of the Sample Mean Calculator Calculate the standard deviation of the sample mean (standard error) from population SD or sample SD and sample size, with step-by-step working and a chart. Open Standard Error Calculator Calculate the standard error of the mean or proportion instantly. Enter raw data or summary stats, choose a confidence level, and get the SEM with a worked solution. Open Sum of Squares Calculator Calculate the sum of squares from a dataset in seconds. Get the statistical SS (deviations from the mean), algebraic SS, count, mean, variance, and full step-by-step working. Open Upper and Lower Fence Calculator Calculate upper and lower fences (Tukey inner and outer) for any dataset. Identifies mild and extreme outliers using Q1, Q3, and IQR with a full step-by-step breakdown. Open Venn Diagram Calculator Calculate all Venn diagram regions instantly: union, intersection, set difference, symmetric difference, and complements for 2 or 3 sets. Open
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