Calculate midpoints, stepped centers, and middle integers with confidence. Choose precision, rounding, and sequence step, then download results. Useful for planning and estimating ranges.
| Number A | Number B | Step | Real Midpoint | Stepped Middle Term(s) |
|---|---|---|---|---|
| 10 | 20 | 1 | 15 | 15 |
| 3 | 8 | 1 | 5.5 | 5 and 6 |
| 100 | 160 | 10 | 130 | 130 |
| 7.5 | 2.5 | 0.5 | 5 | 5 |
Tip: the stepped result depends on your step size.
Midpoint between two numbers:
midpoint = (A + B) ÷ 2
Stepped sequence middle term(s):
Build an arithmetic sequence starting at A using a positive step, moving toward B. The calculator counts terms using floor(|B−A|/step) + 1 and reports the center term(s).
If B is not aligned to the step, the last term may differ.
Midpoints give a neutral reference for decisions built on ranges. In estimating, a midpoint can represent a balanced assumption between optimistic and conservative limits. For example, between 10 and 20, the midpoint 15 is often used as a planning value when exact outcomes are uncertain.
The calculator uses the arithmetic mean: (A + B) ÷ 2. This works for positive and negative numbers, and for decimals. If A = −8 and B = 2, the midpoint is −3. This result is symmetric: the distance from −3 to −8 equals the distance from −3 to 2.
When endpoints are integers, you may also want the “middle integer(s)” of the inclusive set. Between 3 and 8, the set has six values, so there are two middle integers: 5 and 6. For an odd count, such as 10 through 20, there is one middle integer: 15.
Many workflows use fixed increments: measurement grids, pay grades, batching, or inspection intervals. With a step, the calculator builds an arithmetic sequence from A moving toward B and finds the center term(s). If A = 100, B = 160, step = 10, the center is 130 because terms are evenly spaced.
If B is not aligned to the step, the generated sequence may stop short of B. For example, A = 0, B = 10, step = 4 produces 0, 4, 8 and reports the middle term 4. The notes field highlights when B is not reached, helping you avoid misinterpretation.
Midpoints can be reported at different precision levels depending on context. Cost estimates may use two decimals, while laboratory readings may require four or more. Rounding, flooring, or ceiling can standardize outputs to match reporting rules, tolerances, or conservative safety margins.
Typical applications include midpoint pricing between supplier quotes, central values for sensitivity analyses, average setpoints between control limits, and balanced thresholds in scoring rubrics. In statistics, midpoints are also used to represent class intervals when raw observations are grouped.
Exporting results supports traceability in reviews, lessons, and handoffs. The CSV file is convenient for spreadsheets and logs, while the PDF report is useful for sharing a fixed snapshot. Both include inputs, precision settings, and stepped notes so colleagues can reproduce the same midpoint logic.
The middle number is the midpoint, computed as (A + B) ÷ 2. It splits the distance between A and B into two equal parts.
No. Swapping A and B produces the same midpoint because addition is commutative. The stepped sequence direction adjusts automatically.
If the inclusive integer set between A and B contains an even count of values, there is no single center integer, so two adjacent integers share the middle position.
It creates evenly spaced terms starting from A toward B and then finds the center term(s). This is useful when values must follow fixed increments.
The generated stepped sequence may stop before reaching B. The calculator reports the last term reached and warns you in the notes.
Use Round for typical reporting, Floor to avoid overstating, and Ceil to avoid understating required limits. Choose based on your policy or tolerance needs.
Yes. The midpoint formula works for all real numbers, including negatives and decimals, and the display precision can be adjusted up to 10 decimals.
Use this midpoint tool to compare ranges accurately today.
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.