What this result means
Calculate a frequency-weighted mean from values or class midpoints and show sum of fx and total frequency.
Grouped Data Mean Calculator
Grouped Data Mean
Enter your values, then calculate to see a verified result.
Reference range
How this result is calculated
A clear calculation path based on your inputs.
Inputs usedReview the information used for this result.
Full calculation and sourcesGrouped mean = sum(f x value) / sum(f).
Versioned calculationFormula v1.0.0
Method used
Grouped mean = sum(f x value) / sum(f).
Important limitation
The result is only as reliable as the inputs and stated method.
Enter the inputsUse values with the units and definitions shown beside each field.
Apply the methodGrouped mean = sum(f x value) / sum(f).
Inspect the bridgeReview the primary result and supporting outputs before using it.
Check limitationsConfirm the assumptions, date, jurisdiction or population match your use case.
Interpretation
Midpoints 5,15,25 with frequencies 2,3,1 give 13.3333.
Grouped mean = sum(f x value) / sum(f).
The result is only as reliable as the inputs and stated method.
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Public verification recordFormula v1.0.0
- Review scope
- Grouped Data Mean Calculator Formula, Input Validation, Edge Behavior And Result Presentation.
- Review team
- CalculatorGeek Expert Review Team
- Verified
- 2026-09-21
- Next source review
- 2027-09-21
- Automated fixtures
- 1 cases
Review method
Package reconciliation, primary-source mapping, competitor feature comparison, deterministic fixtures, PHP/JavaScript parity and responsive preview QA.
Known limitations
- The result is only as reliable as the inputs and stated method.
- Changing legal, medical, exam or statistical conventions must be checked at the source.
Primary sources
Latest update
2026-09-21 ยท
On this page
Direct answer
Calculate a frequency-weighted mean from values or class midpoints and show sum of fx and total frequency.
Continue with the Arithmetic Mean Calculator when that method matches your next question.
Continue with the Descriptive Statistics Calculator when that method matches your next question.
Formula and methodology
Grouped mean = sum(f x value) / sum(f).
Midpoints 5,15,25 with frequencies 2,3,1 give 13.3333.
Worked example
Midpoints 5,15,25 with frequencies 2,3,1 give 13.3333.
The calculator retains working precision and rounds only the displayed values.
Interpret the result carefully
Method boundary: The result is only as reliable as the inputs and stated method.
Inputs, boundary behavior and JavaScript/PHP parity are covered by deterministic release tests.
Use the result for the named task only. Do not stretch it into a legal, clinical, safety or causal conclusion the formula does not support.
Inputs, outputs and result meaning
Calculates grouped mean, sum of fx, total frequency, and rows from values or class midpoints and frequencies with visible method, validation, precision, and limitations.
Inputs
- Values or class midpoints
- Enter values or class midpoints.
- Frequencies
- Enter matching nonnegative frequencies.
Outputs
- Grouped mean
- This is the primary result. The visible value uses up to 6 decimal places according to the output rule.
- Sum of fx
- The visible value uses up to 4 decimal places according to the output rule.
- Total frequency
- The visible value is displayed without decimal places.
- Rows
- The visible value is displayed without decimal places.
The calculator applies the documented method after validating and normalizing the inputs. Keep the result label, unit, selected mode, and stated limitations together when sharing the answer.
Frequently asked questions
What method does this calculator use?
Grouped mean = sum(f x value) / sum(f).
How should I round the result?
Keep full precision during the calculation and round only the final display unless a governing standard says otherwise.
What is the main limitation?
The result is only as reliable as the inputs and stated method.
Can I reproduce the answer?
Yes. The formula, inputs, supporting outputs and worked example are displayed on the page.
Sources
Source research refreshed September 21, 2026. No rankings, review credentials or official affiliation are implied.
What the Grouped Data Mean Calculator answers
The Grouped Data Mean Calculator calculates grouped mean, Sum of fx, Total frequency, and Rows from values or class midpoints and Frequencies. Read the primary answer together with its unit, supporting outputs, and interpretation rather than treating the number as context-free.
Method, assumptions and precision
The documented Grouped Data Mean method normalizes the inputs before calculating the displayed outputs.
The engine retains working precision through the calculation and rounds only the visible result according to the output definition. Unsupported values or denominators should produce a validation message rather than an infinite or undefined display.
Reference example
Primary worked example: Values or class midpoints: 5, 15, 25; Frequencies: 2, 3, 1. The expected result is Grouped mean: 13.333333; Sum of fx: 80; Total frequency: 6.
Interpretation checks
- The result is only as reliable as the inputs and stated method.
- Changing legal, medical, exam or statistical conventions must be checked at the source.
- Keep the displayed unit and input convention with the result.
- Use an unrounded value when the result feeds another calculation.