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Online Mean, Median, Mode, Range Calculator
Use our online statistics calculator to quickly find mean, median, mode, and range from your dataset. Ideal for students, researchers, and analysts needing fast and accurate descriptive statistics.
| Result | |||
|---|---|---|---|
| Mean (Average) | 28.7 | Largest | 48 |
| Median | 13.5 | Smallest | 12 |
| Range | 36 | Sum | 287 |
| Mode | 15, 38 each appeared 2 times | Count | 10 |
| Geometric Mean | 25.88779096735222 | ||
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What Is This Tool?
This calculator helps you determine key statistical measures — mean, median, mode, and range — from a set of data values. It is designed for easy and fast computation to support exploratory data analysis, reporting, and summarizing datasets.
How to Use This Tool?
- Enter your data values separated by commas or spaces
- Click the calculate button to process the input
- View the calculated mean, median, mode, and range results displayed clearly
- Interpret the results for your statistical analysis or reporting needs
Key Features
- Calculates mean using the formula Mean = Σxᵢ / N
- Finds median as the middle value when data is sorted or averages two middle values for even numbers of data points
- Identifies the mode as the most frequently occurring value(s) in the dataset
- Computes the range by subtracting the minimum value from the maximum value
- Employs floating-point arithmetic for precise mean values
- Works well with datasets of any size quickly and accurately
Examples
- Given data: 3, 9, 4, 9, 6 - Sorted data: 3, 4, 6, 9, 9 - Mean = (3 + 9 + 4 + 9 + 6) ÷ 5 = 6.2 - Median = 6 (middle value) - Mode = 9 (occurs twice) - Range = 9 − 3 = 6
Common Use Cases
- Quickly summarizing datasets for educational or research purposes
- Performing statistical summaries in business analytics and quality control
- Exploratory data analysis to understand central tendency and variation
- Supporting reporting requirements with accurate descriptive statistics
Tips & Best Practices
- Check your data for accuracy before inputting to avoid errors
- Use sorted data to cross-verify median and mode results
- Remember mode may return multiple values for datasets with equal highest frequencies
- Leverage the precision of floating-point arithmetic for exact mean calculations
Limitations
- Mode calculation may output multiple values if the dataset is multimodal, which could be unexpected
- This tool does not handle weighted data or advanced statistical measures beyond basic descriptive statistics
Frequently Asked Questions
- What does the mean represent in my data?
- The mean is the average of all data values, calculated as the sum of all values divided by the total number of values.
- How is the median different from the mean?
- The median is the middle value when the data is sorted, which can better represent the center in skewed distributions, unlike the mean which averages all values.
- Can my dataset have more than one mode?
- Yes, if multiple values occur with the same highest frequency, the mode calculation will return all those values.
- What does the range tell me about my data?
- The range indicates the difference between the highest and lowest values in your dataset, showing the spread or dispersion.
Key Terminology
- Mean
- The average value calculated by dividing the sum of all individual data values by the number of values.
- Median
- The middle value in a sorted dataset, or the average of the two middle values if the dataset size is even.
- Mode
- The value or values that occur most frequently in a dataset.
- Range
- The difference between the maximum and minimum values in the dataset, indicating its spread.
- Σxᵢ
- Symbol representing the sum of all individual data values in the dataset.
- N
- The total number of data values in the dataset.