Calculator
Example Data Table
| Entry | Value | Reason | Expected Use |
|---|---|---|---|
| 1 | 125.50 | Invoice line | Included in total |
| 2 | 80.25 | Invoice line | Included in total |
| 3 | 44.25 | Invoice line | Included in total |
| 4 | -10.00 | Credit | Deducted from total |
| Total | 240.00 | Expected sum | Pass when difference is within tolerance |
Formula Used
Adjusted value: adjusted value = original value × scale factor + offset.
Sum: calculated sum = adjusted value 1 + adjusted value 2 + adjusted value n.
Difference: difference = calculated sum − expected sum.
Pass rule: pass when absolute difference is less than or equal to tolerance.
Weighted sum: weighted sum = Σ adjusted value × assigned weight.
Modulo remainder: remainder = rounded selected total mod modulo base.
Check digit: check digit = modulo base − remainder, then reduced by modulo base.
How To Use This Calculator
Paste numbers into the main box. Choose the delimiter, or keep auto detection active. Enter the expected sum and tolerance. Add scale, offset, and weighting rules only when your process needs them. Choose a modulo base when you need remainder or check digit review. Press calculate to view the result above the form. Use CSV for spreadsheets. Use PDF for a compact audit record.
Understanding Sum Checks
A sum check is a simple control test. It compares a calculated total with an expected total. The method is useful for invoices, stock lists, score sheets, ledgers, and imported rows. It does not prove every record is perfect. It shows whether the selected numbers balance within the limit you set.
Why This Calculator Helps
Manual checking is slow. Small typing errors can hide inside long lists. This calculator accepts copied numbers from spreadsheets, forms, reports, or messages. It reads common separators and removes blank spaces. You can apply absolute values, scaling, offsets, and weighted totals. These options make the tool useful for basic audits and advanced verification work.
Main Checks Performed
The first check is the standard sum. Each parsed value is added after optional scaling and offset adjustments. The expected total is then compared with the calculated total. The difference shows the size and direction of the mismatch. A tolerance band can mark a result as accepted when rounding or minor timing differences are allowed.
Weighted and Modulo Review
Some processes use weights. A weight can start at one value and increase by a fixed step for every item. The weighted sum multiplies each value by its assigned weight. This can reveal swapped positions or missing rows. The modulo check divides the chosen total by a base number. The remainder can be compared with a required value. It also supports a check digit using a complement formula.
Good Data Practices
Always check the source before trusting the result. Make sure pasted values use the right units. Remove totals that should not be included. Keep negative signs when they represent credits or deductions. Use absolute values only when direction should be ignored. A clear note beside each exported report helps future reviewers understand the rule used.
When To Export
Use the CSV export when you need spreadsheet review. It keeps rows easy to filter. Use the PDF export for a compact record. Store the expected total, tolerance, and settings with the result. This creates a repeatable audit trail and supports consistent checks across teams. The calculator should support decisions, not replace review. Pair it with sound records, clear assumptions, and reasonable approval steps for dependable results.
FAQs
What is a sum check?
A sum check compares a calculated total with an expected total. It helps find missing values, extra values, transposed rows, and rounding differences in a list of numbers.
Can I paste spreadsheet values?
Yes. You can paste values separated by commas, spaces, pipes, semicolons, or new lines. Auto mode is best for most copied spreadsheet columns.
What does tolerance mean?
Tolerance is the allowed difference between the calculated sum and expected sum. Use it when rounding, tax, currency conversion, or timing differences create small mismatches.
When should I use absolute values?
Use absolute values when signs do not matter. Do not use it when negative numbers represent credits, deductions, refunds, or reverse entries.
What is a weighted sum?
A weighted sum multiplies each adjusted value by a changing weight. It helps test ordered data and can reveal some swapped or misplaced entries.
What does modulo base do?
The modulo base divides the selected total and returns a remainder. This is useful for simple check digit and remainder validation rules.
Does this replace accounting review?
No. It supports checking, but it does not replace source review, approvals, reconciliation rules, or professional judgment.
What exports are available?
You can download a CSV report for spreadsheet review or a PDF report for a compact audit record.