Statistical Calculator

The calculator computes 15 different statistical measures including mean (average), median, mode, range, minimum, maximum, sum, count, variance, standard deviation, quartiles (Q1, Q3), interquartile range (IQR), skewness, and kurtosis. These cover the most commonly used descriptive statistics for data analysis.

You can enter numbers in multiple ways: separated by commas (1, 2, 3), spaces (1 2 3), or on separate lines. The calculator automatically detects and parses valid numbers while ignoring invalid text. You can paste data directly from spreadsheets or other sources.

Mean is the arithmetic average (sum divided by count). Median is the middle value when data is sorted (50th percentile). Mode is the most frequently occurring value(s). Each measure of central tendency provides different insights into your data distribution.

Standard deviation measures how spread out your data is from the mean. It's calculated as the square root of variance. A low standard deviation means data points are close to the mean, while a high standard deviation indicates more spread. About 68% of data falls within one standard deviation of the mean in a normal distribution.

Quartiles divide your data into four equal parts. Q1 (25th percentile) is the value below which 25% of data falls, Q3 (75th percentile) is where 75% falls below. IQR = Q3 - Q1 and represents the middle 50% of your data, useful for identifying outliers and understanding spread.

Skewness measures the asymmetry of your data distribution. Positive skewness means a longer tail on the right side, negative means longer tail on the left. Kurtosis measures the "tailedness" of the distribution - higher values indicate more extreme outliers, lower values indicate a flatter distribution than normal.

Yes, the calculator efficiently handles large datasets with thousands of numbers. There's no strict limit, but for very large datasets (100,000+ numbers), performance may vary depending on your device. The tool shows a preview of your first 10 numbers and the total count.

All calculations use standard mathematical formulas and JavaScript's built-in numerical precision. Results are accurate to at least 6 decimal places. For critical applications, always verify results with specialized statistical software, especially for very large datasets or extreme values.

"No mode" appears when every number in your dataset appears exactly once (no repeating values). This is common in continuous data or measurement data where exact repetition is rare. In such cases, mean and median are typically more meaningful measures of central tendency.

Yes, you can copy all statistical results at once using the "Copy All Results" button. This creates a formatted text summary with all calculated values that you can paste into documents, emails, or spreadsheets. Individual values are also displayed in an easy-to-read format.

Negative skewness indicates the distribution tail extends more to the left (lower values), meaning most data is concentrated on the higher end. Negative kurtosis (less than 0) indicates a distribution with lighter tails and a flatter peak compared to a normal distribution, suggesting fewer extreme outliers.

This calculator works with any numerical data: test scores, measurements, financial data, survey responses (when numerical), experimental results, etc. It's ideal for interval and ratio data. For categorical data, you'd need different analytical approaches. The tool handles both integers and decimal numbers.