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.
Optimised for: USA · Canada · UK · Australia · Calculations run in your browser · No data stored
Frequently Asked Questions
What are the main descriptive statistics?
Key descriptive statistics include mean, median, mode, range, variance, standard deviation, and interquartile range (IQR).