Calculate mean, median, mode, range, and standard deviation. Enter your numbers and get complete statistical analysis instantly.
Mean (Average)
30.00
Median
30.00
Middle value
Real-world average calculations
30.0000
150.00 ÷ 5
30.0000
Middle value when sorted
None
Most frequent value(s)
40.0000
50 - 10
Interactive formula breakdown
The average value
Sum of all values
Number of values
Measure of spread from mean
200.0000
Average squared deviation from mean
14.1421
Square root of variance
40.0000
Max - Min
Test your understanding with real problems
Practice with 6 problems to test your understanding.
Mean (Average)
30.00
Median
30.00
Middle value
To calculate the average (arithmetic mean), add all numbers and divide by the count. For example, the average of 10, 20, and 30 is (10+20+30)/3 = 20. The median is the middle value when sorted. The mode is the most frequent value. Range is the difference between highest and lowest values.
Average (or arithmetic mean) is a measure of central tendency calculated by dividing the sum of all values by the number of values. Along with median (middle value) and mode (most common value), it helps describe the typical value in a data set. Averages are fundamental to statistics, science, and everyday decision-making.
To calculate the average (arithmetic mean), add all numbers and divide by the count. For example, the average of 10, 20, and 30 is (10+20+30)/3 = 20. The median is the middle value when sorted. The mode is the most frequent value. Range is the difference between highest and lowest values.
Mean is the arithmetic average (sum divided by count). Median is the middle value when sorted. Mode is the most frequently occurring value(s). Use mean for symmetric data, median for skewed data or outliers, mode for categorical data.
Use median when data has outliers or is skewed. For example, median income is better than mean income because a few very high earners would skew the mean upward. Median is also better for house prices, salaries, and similar data.
Standard deviation measures how spread out numbers are from the mean. A low standard deviation means values are close to the mean. A high standard deviation means values are spread out. It's the square root of variance.
Range is the simplest measure of spread: the difference between the maximum and minimum values. While easy to calculate, it's sensitive to outliers. For better spread measurement, use standard deviation or interquartile range.
Yes! Data can be bimodal (two modes), multimodal (multiple modes), or have no mode (if all values appear equally often). For example, {1, 2, 2, 3, 3, 4} is bimodal with modes 2 and 3.
Last updated: 2025-01-15
Mean (Average)
30.00
Median
30.00
Middle value