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Online Mean, Median, Mode Calculator
Mean, Median and Mode Calculator finds the mean, median, mode, range, quartiles, IQR, and outliers of a data set, with sum, count, minimum, and maximum.
| Result | |||
|---|---|---|---|
| Mean x̄ | 16.75 | Outliers | 6, 33, 35 |
| Median x̃ | 15 | Quartile Q1 | 12.5 |
| Mode | 15 X 3 | Quartile Q2 | 15 |
| Range | 29 | Quartile Q3 | 16 |
| Minimum | 6 | Interquartile Range IQR | 3.5 |
| Maximum | 35 | ||
| Sum | 201 | ||
| Count n | 12 | ||
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What Is This Tool?
This calculator summarizes a set of numbers with the most common descriptive statistics. Enter your values separated by commas or spaces, and it returns the mean, median, and mode, along with the range, minimum, maximum, sum, and count. It also reports the first, second, and third quartiles, the interquartile range, and any outliers detected using the 1.5×IQR rule. The data is sorted automatically before the median and quartiles are computed, and the result can be downloaded as a PDF.
How to Use This Tool?
- Enter your numbers separated by commas or spaces.
- Provide at least two values.
- Click Calculate to see the full summary.
- Download a PDF of the result if you'd like.
Key Features
- Calculates the mean, median, and mode of your data set.
- Reports range, minimum, maximum, sum, and count.
- Shows the first, second, and third quartiles plus the interquartile range.
- Flags outliers using the 1.5×IQR rule.
- Accepts comma- or space-separated values and offers a PDF download.
Examples
- The set 6, 11, 11, 14, 14, 15, 15, 15, 16, 16, 33, 35 has a mean of 16.75 and a median of 15.
- Its mode is 15, which appears three times.
- The quartiles are Q1 12.5, Q2 15, and Q3 16, giving an IQR of 3.5.
- The values 6, 33, and 35 are flagged as outliers.
Common Use Cases
- Summarizing test scores or survey results.
- Finding the typical value in a data set.
- Spotting outliers before further analysis.
- Completing statistics homework or coursework.
- Comparing the center and spread of two data sets.
Tips & Best Practices
- Separate your values consistently with commas or spaces.
- Check that every entry is a number before calculating.
- Use the median when your data has extreme values.
- Look at the IQR and outliers to understand the spread.
- Keep the sum and count for verifying the mean by hand.
Limitations
- Results are only as accurate as the numbers you enter.
- Non-numeric entries are ignored rather than flagged individually.
- Outlier detection uses the 1.5×IQR rule, which is one of several methods.
- Nothing is saved between sessions — only the current result can be exported as a PDF.
Frequently Asked Questions
- What's the difference between mean, median, and mode?
- The mean is the average, the median is the middle value when sorted, and the mode is the most frequent value.
- What does the mode result with an 'X' mean?
- It shows the most frequent value (or values) followed by how many times it appears.
- How are outliers identified?
- Values more than 1.5 times the interquartile range below Q1 or above Q3 are flagged as outliers.
- Do I need to sort my numbers first?
- No — the calculator sorts them for you before finding the median and quartiles.
Key Terminology
- Mean
- The arithmetic average of all the values.
- Median
- The middle value when the data is sorted in order.
- Mode
- The value or values that appear most frequently.
- Quartiles
- The values that split sorted data into four equal parts (Q1, Q2, Q3).
- Interquartile range (IQR)
- The spread of the middle half of the data, Q3 minus Q1.