Mean Median Mode Calculator
Calculate central tendency measures for any dataset.
Mean
30.00
Median
30.00
Mode(s)
30
Range
40.00
Count: 7
Sum: 210.00
Sorted Data:
10, 20, 30, 30, 30, 40, 50
Understanding Central Tendency
Central tendency describes where data points cluster. The three main measures—mean, median, and mode—each provide unique insights into your dataset.
Mean (Average)
The arithmetic mean is calculated by summing all values and dividing by the count. It is sensitive to outliers, meaning a single extreme value can significantly shift the mean.
Formula: Mean = Σx / n
Median (Middle Value)
The median is the middle value when data is sorted. For even-sized datasets, it is the average of the two middle values. The median is resistant to outliers, making it more robust for skewed data.
Mode (Most Frequent)
The mode is the value that occurs most often. A dataset may be unimodal (one mode), bimodal (two modes), multimodal, or have no mode if all values appear equally.
Range
The range is the difference between the maximum and minimum values. It shows the spread of the data but is also sensitive to outliers.
When to Use Each
- Mean: Symmetric data without outliers (e.g., test scores).
- Median: Skewed data or data with outliers (e.g., income).
- Mode: Categorical data or finding the most common value (e.g., shoe sizes).
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