📋 Statistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation for any set of numbers.
Understanding Descriptive Statistics
Descriptive statistics summarize and describe the main features of a data set. The mean (average) is the sum of all values divided by the count. The median is the middle value when data is sorted, which is less influenced by outliers than the mean. The mode identifies the most frequently occurring value, which is useful for categorical data analysis.
The range (max minus min) gives a quick sense of data spread. Variance measures the average squared deviation from the mean, while standard deviation (the square root of variance) expresses spread in the same units as the original data. A low standard deviation indicates values cluster near the mean; a high standard deviation indicates wide dispersion.
When to Use Each Measure
Use the mean for normally distributed data without significant outliers. Use the median for income data or house prices where extreme values skew the average. Use the mode to find the most common category in survey data. Standard deviation is essential for understanding data reliability and is widely used in quality control, finance (risk measurement), and scientific research.