Mean Median Mode Calculator

Example Data Table

Formula Used

Mean: Add all values. Divide the sum by the number of values.

Median: Sort all values. Use the middle value. For an even count, average the two middle values.

Mode: Count each value. The value with the highest frequency is the mode.

Range: Subtract the minimum value from the maximum value.

Population variance: Add squared deviations from the mean. Divide by n.

Sample variance: Add squared deviations from the mean. Divide by n minus 1.

Standard deviation: Take the square root of variance.

Interquartile range: Subtract first quartile from third quartile.

How to Use This Calculator

1. Enter a name for your data set.
2. Paste numbers into the data box.
3. Choose decimal precision.
4. Set a trimmed mean percentage if needed.
5. Click the calculate button.
6. Review the summary, sorted list, and frequency table.
7. Use CSV for spreadsheets.
8. Use PDF for printable reports.

About This Statistical Calculator

Mean, median, and mode describe the center of a data set. Each measure answers a different question. The mean shows the arithmetic balance point. The median shows the middle value after sorting. The mode shows the most repeated value. Together, they give a stronger view than any single average.

This calculator is useful for marks, surveys, sales, lab readings, finance lists, sports scores, and quality checks. You can paste numbers separated by commas, spaces, or new lines. The tool cleans the input, sorts the values, counts frequencies, and calculates common descriptive statistics. It also adds range, quartiles, variance, standard deviation, interquartile range, and optional trimmed mean.

Mean is sensitive to extreme values. One very large or very small number can move it quickly. Median is more resistant to outliers. It often represents skewed data better. Mode is helpful when repeated values matter. A data set can have one mode, many modes, or no repeated mode.

The frequency table helps you see the shape of the data. Repeated values appear with their counts and percentages. The sorted data table helps you verify the median and quartiles. The five number summary shows minimum, first quartile, median, third quartile, and maximum. This summary is useful before making box plots or comparing samples.

The population variance uses every value as the full group. The sample variance estimates variation when your data is only a sample. For research, the sample version is often preferred. For complete records, the population version is suitable.

The export tools support reporting. Use CSV when you need spreadsheet data. Use PDF when you need a clean printable report. Always review the entered values before saving results. Remove measurement errors, duplicate mistakes, or irrelevant records first. Good input creates reliable output. This page gives quick calculations, but interpretation still needs context. Compare the result with the source, collection method, and purpose of analysis. For presentations, keep the result labels simple. State the data source, the number of values, and whether the list is a sample or a full population. When results disagree, explain why. A high mean with a lower median usually suggests a right skew. A low mean with a higher median suggests a left skew.