Median, Mode and Range Calculator
Calculate median, mode, range, mean, count, minimum, and maximum from a list of numbers.
Calculate Median, Mode and Range
Calculate median, mode, range, mean, count, minimum, and maximum from a list of numbers.
What This Median, Mode and Range Calculator Calculates
Median, mode, and range describe different features of a data set. The median identifies the center after sorting, the mode identifies the value or values occurring most frequently, and the range measures the distance from the minimum to the maximum. This calculator reports all three together and adds the arithmetic mean, count, minimum, and maximum so the list can be reviewed from several angles. The calculation is completed locally in the browser, and the calculator itself does not require an account or send the entered values to OfficeCalculator.Net for server-side calculation.
Formula and Method
Median is the middle sorted value; mode is the most frequent value; range = maximum − minimum.
The result is calculated from the values currently shown in the form. Supporting figures are included so you can inspect the intermediate meaning of the answer rather than relying on an unexplained single number.
How to Use the Calculator
- Enter the requested date, time, score, data values, or planning assumptions using the labels shown beside each field.
- Keep related inputs on the same basis. For example, pair values with their matching weights and use the weekend or time-zone convention that actually applies.
- Select Calculate and review both the main result and the supporting figures.
- Read the interpretation and limitations below before using the result in a real workflow.
- Use Copy Result, Share Result, or Save Result Image when you need a record of the calculation.
Worked Example
For 4, 7, 7, 9, 12, and 15, the median is halfway between the third and fourth sorted values, the mode is 7 because it occurs twice, and the range is 15 − 4 = 11. The mean provides another center measure for comparison.
Common Uses
- Summarize classroom, business, scientific, or survey observations quickly.
- Compare the mean with the median when outliers may be influencing the average.
- Identify repeated values and the spread between the smallest and largest observations.
How to Interpret the Result
The median is resistant to extreme values compared with the mean, while the range is highly sensitive to the two extremes. A data set can have more than one mode if several values tie for the highest frequency. If every value occurs only once, the calculator reports no mode rather than selecting every value as a mode.
For repeat calculations, change one assumption at a time and compare the supporting figures. That makes it easier to identify which input is driving the result and reduces the chance of carrying an incorrect unit, date convention, or percentage basis into a decision.
Important Notes and Limitations
These summary statistics do not describe the full shape, variability, or reliability of a data set. Range uses only the extremes, and mode may be unstable in small samples. For deeper analysis, pair these measures with variance, standard deviation, percentiles, plots, and an understanding of how the observations were collected.
OfficeCalculator.Net provides this tool for planning, checking, learning, and general informational use. Keep source records and official system outputs when a result affects grades, payroll, contractual service levels, formal reports, or another decision that must be verified independently.
Frequently Asked Questions
Can a data set have more than one mode?
Yes. Multiple values are reported when they share the highest frequency greater than one.
What happens with an even number of values?
The median is the average of the two middle values after sorting.
Is range the same as variance?
No. Range uses only maximum and minimum, while variance uses deviations of all observations from the mean.
Common Search Questions About Median, Mode and Range Calculator
How do I calculate median, mode and range?
Use the calculator on this page and enter the requested values. Calculate median, mode, range, mean, count, minimum, and maximum from a list of numbers with clear supporting statistics.
How can I get the median, mode and range result quickly?
Enter the required values, calculate, and review the result together with its supporting figures. On rebuilt mobile calculators, the answer is brought into the current viewport so the result is easy to find.
What values do I need to calculate median, mode and range?
Use the inputs shown in the calculator form and keep units consistent. For important decisions, use measured or verified values and review the page assumptions before relying on the result.