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Statistics Calculator

Calculate descriptive statistics: mean, median, mode, range, variance, standard deviation, and quartiles for any data set.

6 values

Mean

18

Median

15.5

Mode

Multiple

Std Dev

12.3153

Variance

151.6667

Range

38

Min

4

Max

42

Sum

108

Distribution

About the Statistics Calculator

Descriptive statistics summarise a dataset's key characteristics — central tendency, spread, and shape — with a handful of numbers. Our statistics calculator instantly computes all major descriptive measures from any dataset: mean, median, mode, range, variance, standard deviation, quartiles, and percentiles, giving you a complete statistical profile with a single calculation.

How It Works

Enter a list of numbers separated by commas or spaces. The calculator computes: Mean = sum / count; Median = middle value when sorted (average of two middle values for even count); Mode = most frequent value(s); Range = max − min; Variance = average squared deviation from mean; Standard deviation = √variance; Quartiles divide sorted data into four equal groups; IQR (interquartile range) = Q3 − Q1.

Tips & Best Practices

  • Mean is sensitive to outliers; median is more robust — use median for skewed data like income.
  • Bimodal data (two modes) may indicate two distinct sub-populations mixed together.
  • A large IQR relative to the range suggests the data is normally distributed.
  • Skewness measures asymmetry: positive skew means a long right tail; negative means long left tail.
  • Minimum 30 data points is typically recommended for meaningful descriptive statistics.

Who Uses This Calculator

Statistics students completing coursework, researchers summarising experimental data, analysts profiling datasets before deeper analysis, business intelligence teams generating data quality reports, and teachers creating educational examples all rely on rapid descriptive statistics calculation.

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Frequently Asked Questions

What are the main descriptive statistics?

Key descriptive statistics include mean, median, mode, range, variance, standard deviation, and interquartile range (IQR).