Mean, Median, Mode Calculator — Find Range, Quartiles & IQR

Understanding the Statistical Measures

This tool provides a comprehensive set of statistical measures to help you understand your dataset. All calculations are performed client-side in your browser, ensuring your privacy.

Measures of Central Tendency

These values describe the central position of a dataset.

• Mean (Average): The sum of all values divided by the number of values. It is sensitive to outliers.
• Median: The middle value of a sorted dataset. It is not affected by outliers.
• Mode: The value that appears most frequently. A dataset can have one, many, or no modes.

Measures of Spread

These values describe how spread out the data points are.

• Range: The difference between the maximum and minimum values. $$ \text{Range} = \text{Max} - \text{Min} $$
• Quartiles (Q1 & Q3): The values that divide the sorted dataset into four equal parts.
  • First Quartile (Q1): The median of the lower half of the dataset.
  • Third Quartile (Q3): The median of the upper half of the dataset.
• Interquartile Range (IQR): The range of the middle 50% of the data. It is the difference between the third and first quartiles. $$ \text{IQR} = \text{Q3} - \text{Q1} $$

We also provide the total number of values (Count) and their sum (Sum), along with the smallest (Minimum) and largest (Maximum) values.

Frequently Asked Questions

Which separators can I use?

Commas, spaces, semicolons, or new lines. Extra whitespace is ignored.

How are quartiles and IQR computed?

We sort your numbers; Q1 is the median of the lower half, Q3 the median of the upper half, and IQR = Q3 − Q1.

What if there is no mode?

If every value appears once, there is no mode and we’ll say so.

Is my data private?

Yes—calculations run entirely in your browser.