Calculator Inputs
Plotly Graph
The chart plots each decimal input and overlays average reference lines for quick comparison.
Example Data Table
| Item | Decimal Value | Weight | Value × Weight |
|---|---|---|---|
| Value 1 | 12.50 | 1.00 | 12.50 |
| Value 2 | 15.75 | 1.50 | 23.63 |
| Value 3 | 18.20 | 2.00 | 36.40 |
| Value 4 | 14.05 | 0.50 | 7.03 |
| Summary | Arithmetic Average: 15.13 | Total Weight: 5.00 | Weighted Average: 15.91 |
Formula Used
Arithmetic average: Average = (x1 + x2 + ... + xn) ÷ n
Weighted average: Weighted Average = Σ(x × w) ÷ Σw
Median: Sort the decimals, then select the center value. For an even count, average the two middle values.
Range: Range = Maximum − Minimum
Variance: Variance = Σ(x − mean)2 ÷ n
Standard deviation: Standard Deviation = √Variance
Trimmed mean: Remove the chosen percentage from both ends after sorting, then average the remaining values.
How to Use This Calculator
- Enter decimal values using commas, spaces, or separate lines.
- Add weights only when you want a weighted average.
- Select the output precision and your preferred rounding rule.
- Set a trim percentage if you want a trimmed mean.
- Choose a label prefix to control chart labels.
- Press Calculate Average to show results above the form.
- Review the chart, detailed table, and summary metrics.
- Use the CSV or PDF buttons to export the report.
Frequently Asked Questions
1. What is a decimal average?
A decimal average is the mean of values containing decimal places. Add the values together, then divide by how many values you entered. This calculator also shows weighted average, median, variance, and standard deviation for better analysis.
2. Can I paste values from a spreadsheet?
Yes. You can paste decimals separated by commas, spaces, tabs, or line breaks. The calculator cleans common separators automatically, so copied spreadsheet columns usually work without editing.
3. When should I use weighted average?
Use weighted average when some decimal values should influence the result more than others. For example, test components with different importance or prices linked to different quantities should not be treated equally.
4. What does trimmed mean tell me?
Trimmed mean reduces the effect of unusually low or high decimals. It removes the same percentage from both ends of the sorted list, then averages the remaining values. This can give a steadier central value.
5. Why do rounding modes change the display?
Rounding rules affect how final numbers are shown after calculation. Standard rounding uses the closest value, while always up and always down give more controlled output formatting for reports or repeated operational decisions.
6. What happens if weights do not match values?
Weighted mode requires one weight for each decimal value. If the counts do not match, the calculator stops and shows an error so you can correct the list before generating the final report.
7. Are exported CSV and PDF files included?
Yes. After calculation, the page can export a CSV summary and a PDF report. Both exports include the key metrics, while the PDF also lists the detailed input table for documentation.
8. Is this calculator useful for finance or lab work?
Yes. Any task using decimal precision can benefit, including prices, measurements, lab readings, productivity scores, and averages from imported records. The extra metrics help you inspect spread, stability, and weighted impact.