Average Calculator
Calculate mean, median, mode, range, and standard deviation. Enter your numbers and get complete statistical analysis instantly.
Mean = Sum of Values / CountStatistics
Mean (Average)
30.00
Median
30.00
Middle value
Enter Numbers
Data Visualization
Detailed Results
Mean (Average)
30.0000
150.00 ÷ 5
Median
30.0000
Middle value when sorted
Mode
None
Most frequent value(s)
Range
40.0000
50 - 10
Measures of Spread
Variance
200.0000
Average squared deviation from mean
Standard Deviation
14.1421
Square root of variance
Range
40.0000
Max - Min
Sorted Data
How to Calculate Mean
Step 1: Add all numbers
10 + 20 + 30 + 40 + 50 = 150
Step 2: Divide by count
150 ÷ 5 = 30.0000
Mean = 30.0000
Statistics
Mean (Average)
30.00
Median
30.00
Middle value
?How to Calculate the Average
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.
What is an Average?
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.
Key Facts About Averages
- Mean (arithmetic average) = sum of all values / count of values
- Median = middle value when data is sorted; average of two middle values if even count
- Mode = most frequently occurring value(s); a set can have no mode or multiple modes
- Range = maximum value - minimum value
- Weighted average: multiply each value by its weight, sum, divide by total weight
- Mean is affected by outliers; median is more robust to extreme values
- For normally distributed data, mean and median are approximately equal
- Geometric mean is used for growth rates; harmonic mean for rates and ratios
Quick Answer
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.
Frequently Asked Questions
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
Statistics
Mean (Average)
30.00
Median
30.00
Middle value