Enter Your Dataset
Example Data Table
| Dataset | Values | Mean | Median | Midrange | Range |
|---|---|---|---|---|---|
| Class Scores | 12, 18, 22, 24, 30, 30, 40 | 25.1429 | 24 | 26 | 28 |
| Daily Orders | 4, 7, 9, 10, 10, 12 | 8.6667 | 9.5 | 8 | 8 |
| Machine Readings | 101, 105, 108, 110, 115 | 107.8 | 108 | 108 | 14 |
Formula Used
Mean: Mean = Σx / n
Median: Sort all values. Use the middle value. For even counts, average the two middle values.
Midrange: Midrange = (Minimum + Maximum) / 2
Range: Range = Maximum − Minimum
Sample Variance: s² = Σ(x − mean)² / (n − 1)
Population Variance: σ² = Σ(x − mean)² / n
Standard Deviation: Standard Deviation = √Variance
IQR: IQR = Q3 − Q1
How To Use This Calculator
- Enter numeric values in the input box.
- Select the separator that matches your dataset.
- Choose sample or population variance.
- Set decimal places for the final output.
- Add a trim percent if you want a trimmed mean.
- Press the calculate button.
- Review the result section above the form.
- Download the CSV or PDF report if needed.
Statistics Guide
Why Central Tendency Matters
Mean, median, and midrange describe the center of a dataset. Each measure gives a different view. The mean uses every value. The median protects the center from extreme numbers. The midrange shows the midpoint between the smallest and largest values. Together, they make a fast statistical summary for reports, lessons, quality checks, and business reviews.
Understanding The Mean
The mean is the arithmetic average. Add all values. Then divide by the count. It works well when values are balanced. It is sensitive to outliers. A single large or small value can move it strongly. That is why analysts often compare it with the median before making decisions.
Understanding The Median
The median is the middle value after sorting. For an odd count, it is one central number. For an even count, it is the average of the two central numbers. It is useful for salaries, house prices, test scores, and skewed samples. It often gives a fairer center when data contains extreme values.
Understanding The Midrange
The midrange is simple. Add the minimum and maximum. Then divide by two. It is quick and easy to explain. It depends only on two values, so it can be distorted by unusual extremes. Use it as a supporting measure, not as the only summary.
Reading The Results
This calculator also gives count, sum, minimum, maximum, range, variance, and standard deviation. These extra outputs show spread and reliability. A small range suggests values stay close. A large range suggests more variation. The sorted list helps you inspect the data before trusting the result.
Practical Use Cases
Teachers can summarize marks. Finance teams can review invoice values. Researchers can check samples. Operations teams can compare process readings. The graph helps spot clusters and gaps. The CSV and PDF exports help save results for records. Always clean data first. Remove text entries. Check duplicates. Confirm measurement units. Then compare several measures for a balanced conclusion.
For best results, enter values from the same scale. Do not mix dollars, days, and percentages. Label your dataset clearly. Recheck negative values when they are possible. Save exports before changing inputs. This improves later comparisons greatly.
FAQs
What is the mean?
The mean is the average of all numbers. Add every value, then divide by the total number of values. It is useful when the dataset has no strong outliers.
What is the median?
The median is the middle value after sorting the dataset. If there are two middle values, the calculator averages them. It is helpful for skewed data.
What is the midrange?
The midrange is the average of the smallest and largest values. It is easy to calculate, but it can be affected by extreme numbers.
When should I use the median instead of the mean?
Use the median when your data has outliers or strong skew. It often shows the center better than the mean in uneven datasets.
Does this calculator support negative numbers?
Yes. Negative numbers work for mean, median, midrange, range, variance, and standard deviation. Geometric and harmonic means need positive values.
What is sample variance?
Sample variance estimates spread from a sample. It divides squared differences by n minus one. Use it when your data represents part of a larger group.
What is population variance?
Population variance measures spread for the whole group. It divides squared differences by n. Use it when your dataset contains every value of interest.
Why download CSV or PDF results?
CSV is useful for spreadsheets and further analysis. PDF is better for sharing, printing, or saving a clean report with key statistics.