Statistics Tool

Mean, Median, Mode Calculator

Calculate the average, middle value, and most frequent number in a dataset.

Separate values with commas or spaces.

Σ The Formula

Mean = Σx / n | Median = middle value | Mode = most frequent value

Real World Examples

Test Scores
Dataset: 85, 90, 85, 78, 92 → Mean = 86, Median = 85, Mode = 85
Sales Data
Dataset: 100, 150, 100, 200, 100 → Mean = 130, Median = 100, Mode = 100
With Outlier
Dataset: 10, 12, 11, 10, 100 → Mean = 28.6 (skewed), Median = 11 (better)
No Mode
Dataset: 5, 10, 15, 20 → Mean = 12.5, Median = 12.5, Mode = none

# About This Calculator

Mean, Median, and Mode are the three main measures of central tendency in statistics, each providing a different way to describe the "center" or "typical value" of a dataset. The mean is the arithmetic average, the median is the middle value when sorted, and the mode is the most frequently occurring value.

These statistics are fundamental to data analysis across all fields: business analytics (average sales, median income), education (test score averages), healthcare (patient metrics), economics (median household income), and scientific research. Understanding which measure to use is crucial for accurate data interpretation.

The mean is sensitive to outliers (extreme values), making it less reliable for skewed data. The median is more robust against outliers, making it better for income data or house prices. The mode is useful for categorical data or finding the most common value. Often, analyzing all three together provides the most complete picture.

This calculator computes all three measures simultaneously and shows you the sorted dataset, making it easy to understand how each statistic is derived. It handles duplicate values, even-length datasets (median averaging), and cases with no mode or multiple modes.

How To Use

  1. Enter numbers separated by commas or spaces (e.g., "10, 15, 10, 20").
  2. Click Calculate Stats.
  3. View the detailed breakdown for each statistic.

Frequently Asked Questions

What if there is no mode?+

If all numbers appear the same number of times (e.g., once each), there is no mode. This is common in datasets with all unique values. Some datasets can also have multiple modes (bimodal or multimodal).

Which average should I use?+

Use mean for symmetric data without outliers (test scores, heights). Use median for skewed data or data with outliers (income, house prices). Use mode for categorical data or finding the most common value (shoe sizes, survey responses).

Why is median better for income data?+

Income is often skewed by very high earners (billionaires). The mean gets pulled up by these outliers, making it unrepresentative. Median income shows what the 'middle person' earns, giving a better sense of typical income.

Can a dataset have more than one mode?+

Yes! If two values tie for most frequent, it's bimodal. Three or more tied values make it multimodal. For example, test scores of 85, 85, 90, 90, 75 has modes of both 85 and 90.

How do I calculate median with an even number of values?+

With an even count, there's no single middle value. Take the two middle numbers and average them. For example, in [10, 20, 30, 40], the median is (20 + 30) / 2 = 25.

Is Mean, Median, Mode Calculator free to use?+

Yes, Mean, Median, Mode Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

About

Mean, Median, and Mode are the three main measures of central tendency in statistics, each providing a different way to describe the "center" or "typical value" of a dataset. The mean is the arithmetic average, the median is the middle value when sorted, and the mode is the most frequently occurring value.

These statistics are fundamental to data analysis across all fields: business analytics (average sales, median income), education (test score averages), healthcare (patient metrics), economics (median household income), and scientific research. Understanding which measure to use is crucial for accurate data interpretation.

The mean is sensitive to outliers (extreme values), making it less reliable for skewed data. The median is more robust against outliers, making it better for income data or house prices. The mode is useful for categorical data or finding the most common value. Often, analyzing all three together provides the most complete picture.

This calculator computes all three measures simultaneously and shows you the sorted dataset, making it easy to understand how each statistic is derived. It handles duplicate values, even-length datasets (median averaging), and cases with no mode or multiple modes.

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