Calculate median values from raw, discrete, or grouped data. Review steps clearly. Export tables quickly for study, reports, and daily analysis.
| Example Type | Input | Median |
|---|---|---|
| Ungrouped | 9, 4, 7, 12, 15 | 9 |
| Ungrouped | 3, 5, 8, 10 | 6.5 |
| Discrete Frequency | 2(1), 4(2), 6(1) | 4 |
| Grouped Continuous | 10-20(5), 20-30(9), 30-40(6) | 26.11 |
For ungrouped data, sort all values first. If the count is odd, the median is the middle value. If the count is even, the median is the average of the two middle values.
Odd count: Median = value at position (n + 1) / 2
Even count: Median = (middle value 1 + middle value 2) / 2
For grouped continuous data, use this formula:
Median = L + [((N / 2) - cf) / f] × h
Here, L is the lower limit of the median class. N is total frequency. cf is cumulative frequency before the median class. f is median class frequency. h is class width.
Select the data type first. Use ungrouped mode for simple lists. Use discrete mode for values with counts. Use grouped mode for class intervals with frequencies.
Enter your numbers carefully. Press the Find Median button. The result appears above the form and below the header. Review the sorted data and supporting steps. Then export the table as CSV or PDF if needed.
The median is a central value. It splits a dataset into two equal parts. Many analysts prefer it when extreme values appear. It stays more stable than the mean in skewed samples. This makes it useful for salaries, housing values, waiting times, and test scores.
This calculator handles three common cases. First, it works with raw values. Second, it handles discrete values with frequencies. Third, it estimates the median from grouped continuous classes. That makes it practical for classroom tasks, reports, and quick checks during research work.
For raw data, the calculator sorts every value. Then it finds the middle item. When the dataset has an even count, it averages the two center values. For discrete frequency data, the tool expands each value by its frequency. Then it finds the median from the ordered list.
Grouped data needs a different method. The calculator builds cumulative frequencies. Then it finds the median class. After that, it applies the grouped median formula. This gives a strong estimate when data is reported in intervals instead of exact values.
The tool also shows supporting details. You can review count, minimum, maximum, quartiles, and interquartile range in ungrouped mode. These results help you understand spread and position better. The sorted list also makes checking your input simple.
Students can use it for homework and revision. Teachers can use it for examples and answer checks. Analysts can review survey results fast. Business teams can study order values or delivery times. Health researchers can inspect medians when distributions are uneven.
The export options make reporting easier. CSV files work well in spreadsheet tools. PDF export helps when sharing final results. You can also print the page directly. These simple features save time during documentation and make the calculator more useful in daily work.
The median is the middle value in ordered data. It divides the dataset into two equal halves. It is useful when outliers affect the mean.
Use the median when data is skewed or contains extreme values. It gives a better central measure for salaries, prices, and waiting times.
Yes. The calculator accepts decimals in raw data, discrete values, and grouped class limits. It keeps the calculations accurate and readable.
The calculator sorts the list first. Then it averages the two middle values. That average becomes the median for the dataset.
Grouped median uses class intervals and frequencies. It finds the median class first. Then it applies the grouped formula to estimate the median.
Discrete frequency data lists exact values with counts. Example: value 4 appears three times. The calculator uses those counts to build the ordered dataset.
Yes. You can download the displayed result as CSV or PDF. You can also print the full page for quick sharing.
Yes. It helps with assignments, revision, examples, and report checks. The extra steps and tables also make learning easier.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.