Mean, Median, Mode Calculator

Summarize Your Data with Central Tendency

This calculator provides a complete statistical summary of a dataset by calculating its four main measures of central tendency and dispersion. It's an essential tool for anyone working with data.

The Formulas Explained

• Mean: The average of all numbers. It's calculated by summing all values and dividing by the count of values.
• Median: The middle value of the dataset when it is sorted in order. If there is an even number of values, the median is the average of the two middle values.
• Mode: The value that appears most frequently in the dataset. A dataset can have one mode, more than one mode, or no mode.
• Range: The difference between the highest and lowest values in the dataset.

How to Use the Calculator

1. Enter Numbers: Input your data set as a series of numbers separated by commas.
2. Calculate: The tool will instantly display the calculated mean, median, mode, and range.

Real-World Example

Consider the dataset: 2, 5, 9, 3, 5, 4, 7

1. Sorted Data: 2, 3, 4, 5, 5, 7, 9
2. Mean: (2+5+9+3+5+4+7) / 7 = 35 / 7 = 5
3. Median: The middle value is 5.
4. Mode: The number 5 appears most often.
5. Range: 9 (max) - 2 (min) = 7

Frequently Asked Questions (FAQ)

• Which measure is the best? It depends on the data. The mean is good for symmetrically distributed data. The median is better for skewed data or data with outliers, as it is not affected by extreme values. The mode is useful for categorical data.
• What if there is more than one mode? The calculator will display all values that appear with the same highest frequency. This is called a bimodal or multimodal dataset.
• What if no number repeats? If every number appears only once, the calculator will indicate that there is no mode.