Average (Mean) Calculator
Find the mean, median, mode, sum, and range of a list of numbers.
Inputs
Mean (Average)
30.0000
Median
30.0000
Mode
No mode
Sum
150.00
Range
40.00
Count
5
Step by step
Collect the values
10, 20, 30, 40, 50
= 5 values
Sum all values
10 + 20 + 30 + 40 + 50
= 150.0000
Divide sum by count to get the mean
150.0000 ÷ 5
= 30.0000
Sort the values, then find the median
middle of sorted list = 30.0000
= 30.0000
Find the range (max − min)
50.0000 − 10.0000
= 40.0000
Mode (most frequent value)
= No mode
Every value appears the same number of times — no single mode exists.
How it works
The mean is the sum of all values divided by how many there are. The median is the middle value when sorted, the mode is the most frequent value, and the range is the difference between the largest and smallest values.
Formulas
Mean
Mean = Sum of all values ÷ Count
- x̄
- Arithmetic mean
- xᵢ
- Each individual value
- n
- Number of values
Median
Median = middle value of the sorted list (average of the two middle values when n is even)
- n
- Number of values
Range
Range = Maximum value − Minimum value
- x_max
- Largest value in the dataset
- x_min
- Smallest value in the dataset
Frequently Asked Questions
What's the difference between mean and median?
The mean averages every value and can be skewed by outliers. The median is the middle value and better represents a typical value when data is skewed.
Can data have more than one mode?
Yes. If several values tie for the highest frequency, the data is multimodal and all of them are listed.