How the Mean, Median, Mode & Range Calculator works.
mean = Σx ÷ n; range = max(x) − min(x)The dataset contains finite real numbers separated by commas, spaces, semicolons, or line breaks.
Worked example for the Mean, Median, Mode & Range Calculator.
For 2, 3, 3, 8, and 10, the mean is 5.2, median is 3, mode is 3, and range is 8.
How to read this result.
Together these summaries show center, frequency, and spread, but no single statistic describes every distribution.
How the calculation works
Mean is the sum divided by count; median is the middle ordered value; mode is the most frequent value; range is maximum minus minimum. Formula or rule: mean = Σx ÷ n; range = max(x) − min(x). The dataset contains finite real numbers separated by commas, spaces, semicolons, or line breaks.
What this calculator does not prove
Outliers can distort the mean and range. These descriptive statistics do not establish causation, representativeness, uncertainty, or a population conclusion. Use the result for the mathematical question shown here; a correct calculation does not by itself establish that the source data, sample, or real-world assumption is appropriate.
Inputs and edge cases to check.
Enter at least one finite number. A dataset may have no mode or several tied modes; an even-sized dataset uses the average of its two middle values. Verify that every observation uses the same scale and that missing values were handled consistently before comparing summaries.
What this tool does not include.
Outliers can distort the mean and range. These descriptive statistics do not establish causation, representativeness, uncertainty, or a population conclusion.
Reference guidance and methodology.
Mean, Median, Mode & Range Calculator questions.
What does the Mean, Median, Mode & Range Calculator calculate?
Calculate four descriptive statistics from a list of numbers and explain what each summary means.
Which formula or algorithm does it use?
mean = Σx ÷ n; range = max(x) − min(x). The dataset contains finite real numbers separated by commas, spaces, semicolons, or line breaks.
What limitations or edge cases matter?
Enter at least one finite number. A dataset may have no mode or several tied modes; an even-sized dataset uses the average of its two middle values. Verify that every observation uses the same scale and that missing values were handled consistently before comparing summaries. Outliers can distort the mean and range. These descriptive statistics do not establish causation, representativeness, uncertainty, or a population conclusion.