Find modal classes and estimate grouped mode values. Compare frequencies and review clear calculation steps. Clean inputs, clear outputs, and guidance for grouped tables.
Enter ordered class intervals and their frequencies. The result appears above this form after submission.
| Class Interval | Frequency | Midpoint |
|---|---|---|
| 0 to 10 | 4 | 5 |
| 10 to 20 | 7 | 15 |
| 20 to 30 | 14 | 25 |
| 30 to 40 | 11 | 35 |
| 40 to 50 | 6 | 45 |
Grouped Mode = L + [(fm − f₁) / (2fm − f₁ − f₂)] × h
L = lower limit of the modal class
fm = frequency of the modal class
f₁ = frequency of the class before the modal class
f₂ = frequency of the class after the modal class
h = class width
This interpolation formula estimates the mode inside the highest-frequency class rather than assuming the whole modal class midpoint is the mode.
The grouped mode helps summarize the most concentrated part of a distribution when raw observations are unavailable. It is useful in statistics, classroom reports, survey summaries, production ranges, and grouped economic datasets. Because grouped data hides exact values inside intervals, the formula interpolates within the modal class to estimate the most typical value more realistically.
It is the estimated most common value in grouped frequency data. The estimate comes from the modal class and neighboring class frequencies.
The modal class is the class interval with the highest frequency. It provides the starting point for the grouped mode formula.
Neighboring frequencies show how the peak rises and falls around the modal class. That pattern helps estimate where the mode lies inside the interval.
The grouped mode formula works best when class widths are consistent. Unequal widths can distort interpretation unless the grouped table was designed carefully.
This calculator uses zero for the missing neighboring frequency. That provides an estimate, but interior modal classes usually give stronger results.
Yes. The CSV button saves row data and the result summary. The PDF button creates a simple report you can download.
No. Values are processed when you submit the form. Exports are generated in your browser for local use.
Avoid it when raw data is available and exact mode counts matter. Raw observations can show repeated values more accurately.
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.