Calculate mean, median, and mode with detailed explanations. Hover over the information icons to learn about each statistical concept and how it's calculated.
The mean is the average of all numbers. It's calculated by adding up all values and dividing by the total count.
Formula: Mean = (Sum of all values) / (Number of values)
Example: [5, 2, 8, 3, 5, 7]
(5 + 2 + 8 + 3 + 5 + 7) / 6 = 30 / 6 = 5
The average value of the dataset
The median is the middle value in an ordered list. For an odd number of values, it's the central number. For an even count, it's the average of the two central numbers.
Example: [2, 3, 5, 5, 7, 8] (sorted)
Even count: (5 + 5) / 2 = 5
Example: [1, 3, 5, 7, 9]
Odd count: Median = 5
The middle value of the sorted dataset
The mode is the most frequent number(s). When all numbers appear equally, there is no mode. When multiple numbers share the highest frequency, there are multiple modes.
Example: [5, 2, 8, 3, 5, 7]
5 appears twice (most frequent)
Example: [1, 2, 2, 3, 3, 4]
Modes: 2 and 3 (both appear twice)
The most frequently occurring value(s)
Enter numbers and click calculate to see steps
Numbers will appear sorted here
Sum and count will be calculated here
Process of finding the middle value
Frequency analysis of values