How to Use
Type your dataset in the box, separated by commas or spaces — e.g. 4, 8, 15, 16, 23, 42. Any order is fine.
Hit the Calculate button to instantly compute all statistics for your dataset.
See Mean, Median, Mode, Range, Min, Max, Sum, Count, and Standard Deviation — with a full step-by-step breakdown.
Frequently Asked Questions
The mean (arithmetic mean) is the sum of all values divided by the count of values. For example, the mean of 2, 4, 6 is (2 + 4 + 6) / 3 = 4. It represents the "average" of the dataset.
The median is the middle value when data is sorted in order. Unlike the mean, it is not affected by extreme values (outliers). For an even number of values, the median is the average of the two middle values. For example, for 1, 3, 7, 100 — median = (3 + 7) / 2 = 5, while mean = 27.75.
The mode is the value that appears most frequently. If all values appear the same number of times, there is no mode. A dataset can also have multiple modes (bimodal or multimodal) when two or more values tie for the highest frequency.
Range = Maximum value − Minimum value. It tells you how spread out the data is. For example, in the dataset 3, 7, 11, 15 — Range = 15 − 3 = 12.
Standard deviation (SD) measures how much values deviate from the mean on average. This calculator uses population SD: SD = √(Σ(x − mean)² / n). A low SD means data points are close to the mean; a high SD means they are more spread out.
For a perfectly symmetric (normal) distribution, Mean = Median = Mode. When data is skewed right (positive skew), Mean > Median > Mode. When skewed left (negative skew), Mean < Median < Mode. The empirical relation is: Mode ≈ 3 × Median − 2 × Mean.