Statistics Calculator
Perform complete statistical analysis on your data set. Calculate mean, median, mode, standard deviation, variance, and range instantly.
About Statistics
Statistics is the branch of mathematics dealing with data collection, analysis, and interpretation. This calculator provides descriptive statistics, which summarize the characteristics of a data set.
Measures of Central Tendency
- Mean: The average of all numbers. (Sum ÷ Count)
- Median: The middle number when sorted. If there is an even amount of numbers, it is the average of the two middle ones.
- Mode: The number that appears most frequently.
Measures of Dispersion
- Range: The difference between the highest and lowest values.
- Standard Deviation (SD): A measure of how spread out the numbers are. A low SD means numbers are close to the mean.
- Variance: The average of the squared differences from the mean (SD squared).
? Frequently Asked Questions
Population Standard Deviation is used when you have data for the entire group (e.g., ages of every student in a class). Sample Standard Deviation is used when you only have a subset of the data (e.g., ages of 5 random students) and want to estimate the deviation for the whole group. Sample calculation divides by N-1 instead of N.
Yes. If two or more numbers appear with the same highest frequency, the data set is multimodal. This calculator lists all modes found.
Variance is calculated by taking the square of the Standard Deviation. It represents the average squared deviation from the mean.