How do you calculate the midpoint between two numbers?

Add the two numbers together and divide by 2. Example: midpoint between 20 and 80 = (20 + 80) ÷ 2 = 50. This is also called the halfway point or arithmetic mean of two values.

How do you calculate salary midpoint?

Salary midpoint = (Minimum salary + Maximum salary) ÷ 2. Example: a pay range of $60,000 to $90,000 has a midpoint of ($60,000 + $90,000) ÷ 2 = $75,000. The salary midpoint represents the market rate target for a fully competent employee in that role.

How do you calculate class midpoint in statistics?

Class midpoint = (Lower class boundary + Upper class boundary) ÷ 2. Example: for a class interval of 20–30, the midpoint is (20 + 30) ÷ 2 = 25. Class midpoints are used in frequency distributions and grouped data calculations.

📐 Maths & Geometry

Midpoint Calculator

Q: What is a halfway point calculator used for?

A halfway point calculator finds the exact middle value between any two numbers or coordinates. Common uses include: finding the centre point between two locations, calculating the midpoint of a salary band, finding class midpoints for statistics, splitting a line segment, and finding midpoints on a number line.

Use this free midpoint calculator to find the midpoint between two points, calculate a salary midpoint from a pay range, or find the class midpoint in statistics. Enter any two values and get the result with full formula shown instantly.

3 modes

Geometry · salary · statistics

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📐 Midpoint Calculator — Find the Midpoint Between Two Points

Three modes: find the midpoint between two coordinates, calculate a salary midpoint from a pay range, or find the class midpoint for a statistics frequency table. The midpoint formula is shown for every calculation.

Find the midpoint between two points on a number line or coordinate plane. Enter x and y coordinates — leave y blank for a number line midpoint.

Point 1 — X coordinate

Point 1 — Y coordinate (optional)

Point 2 — X coordinate

Point 2 — Y coordinate (optional)

Calculate the salary midpoint (market rate target) from a pay range minimum and maximum. Used in compensation planning and HR salary banding.

Salary Range Minimum

Salary Range Maximum

Find the class midpoint for a frequency distribution table. Enter the lower and upper boundary of a class interval.

Lower Class Boundary

The lowest value in the class interval.

Upper Class Boundary

The highest value in the class interval.

Midpoint Formula Reference

Two numbers(A + B) ÷ 2

Two points (x)(x₁ + x₂) ÷ 2

Two points (y)(y₁ + y₂) ÷ 2

Salary midpoint(Min + Max) ÷ 2

Class midpoint(Lower + Upper) ÷ 2

What Is a Midpoint Calculator and How Does It Work?

A midpoint calculator finds the exact middle value or point between two values. Depending on context, this could be the geometric midpoint between two coordinates, the halfway point between two numbers, the midpoint of a salary range, or the class midpoint in a frequency distribution table.

This free midpoint calculator covers all three major use cases in one tool. It works as a midpoint formula calculator for geometry, a salary midpoint calculator for HR and compensation work, and a statistics midpoint calculator for frequency tables — with the full formula shown for every calculation.

Midpoint Calculator Example — Finding the Midpoint Between Two Points

The most common use of the midpoint formula calculator is finding the centre point between two coordinates. Here's how to calculate the midpoint between two points step by step:

Geometry midpoint — points (2, 4) and (8, 10)

Midpoint x = (x₁ + x₂) ÷ 2(2 + 8) ÷ 2 = 5

Midpoint y = (y₁ + y₂) ÷ 2(4 + 10) ÷ 2 = 7

Midpoint between (2,4) and (8,10)(5, 7)

To find the midpoint between two numbers on a number line (no y coordinate), the formula is simply: (A + B) ÷ 2. For example, the midpoint between 20 and 80 is (20 + 80) ÷ 2 = 50. This is also called the halfway point or arithmetic mean.

Midpoint Formula — How to Calculate the Midpoint

The midpoint formula depends on which type of midpoint you need to calculate:

Midpoint between two numbers (number line): M = (A + B) ÷ 2Midpoint between two points (coordinate plane): Mx = (x₁ + x₂) ÷ 2 My = (y₁ + y₂) ÷ 2 Midpoint = (Mx, My)Midpoint between two points — single formula: M = ((x₁ + x₂) ÷ 2 , (y₁ + y₂) ÷ 2)

The midpoint formula works by averaging the two values in each dimension. For a number line, there's only one dimension so you average the two numbers. For a coordinate plane, you average the x values and y values separately to get the midpoint coordinates. Use the midpoint formula calculator above to apply this instantly.

💡 How to calculate midpoint between two numbers quickly: Add them together and halve the result. The midpoint between 15 and 45 is (15+45)÷2 = 30. The midpoint between −10 and 50 is (−10+50)÷2 = 20. Works for decimals too: midpoint between 2.5 and 7.5 = (2.5+7.5)÷2 = 5.

Salary Midpoint Calculator — How to Calculate Midpoint of a Salary Range

In HR and compensation planning, the salary midpoint is the centre of a pay band — the target salary for a fully competent, experienced employee in that role. It represents the market rate the organisation aims to pay for solid performance.

The salary midpoint calculation formula is identical to the standard midpoint formula:

Salary Midpoint = (Minimum Salary + Maximum Salary) ÷ 2Example: pay range $60,000 to $90,000 Salary midpoint = ($60,000 + $90,000) ÷ 2 = $75,000

Salary midpoint calculator example — $60K to $90K pay range

Salary range minimum$60,000

Salary range maximum$90,000

Salary midpoint: ($60,000 + $90,000) ÷ 2$75,000

The salary midpoint is used to benchmark individual salaries within a band. An employee at the midpoint is considered fully competent. Below midpoint means developing or newer to the role; above midpoint may indicate exceptional performance or tenure. Use the midpoint salary calculator mode above to calculate the midpoint of any pay range instantly.

How to Calculate Midpoint in Statistics — Class Midpoint Formula

In statistics, the class midpoint (also called the class mark) is the middle value of a class interval in a frequency distribution. It's used to represent all values in that class when calculating means, standard deviations, and other statistics from grouped data.

To calculate the class midpoint in statistics:

Class Midpoint = (Lower Class Boundary + Upper Class Boundary) ÷ 2Examples: Class 20–30: midpoint = (20 + 30) ÷ 2 = 25 Class 0–10: midpoint = (0 + 10) ÷ 2 = 5 Class 50–75: midpoint = (50 + 75) ÷ 2 = 62.5

💡 How to calculate midpoints in statistics for a full frequency table: Apply the class midpoint formula to every class interval — add the lower and upper boundary, divide by 2. Then multiply each class midpoint by its frequency to calculate the weighted mean of the grouped data.

Midpoint Formula in Economics — The Midpoint Method

The midpoint formula in economics is used to calculate price elasticity of demand in a way that gives the same result regardless of which direction the price change goes. Unlike the standard percentage change formula, the midpoint method uses the average of old and new values as the base.

Price Elasticity (midpoint method): % ΔQ = (Q2 − Q1) ÷ ((Q1 + Q2) ÷ 2) × 100 % ΔP = (P2 − P1) ÷ ((P1 + P2) ÷ 2) × 100 Elasticity = % ΔQ ÷ % ΔP

Use the geometry midpoint calculator mode above to find the midpoint between any two price or quantity values as a starting point for the midpoint method economics calculation.

✍️ Reviewed by the NerdyTools Maths Team — Last updated August 2026

Midpoint Calculator — Frequently Asked Questions

What is the midpoint formula?

The midpoint formula for two points (x₁, y₁) and (x₂, y₂) is: Midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). For two numbers on a number line: Midpoint = (A + B) ÷ 2. The midpoint calculator above applies the correct formula automatically based on your inputs.

How do you calculate the midpoint between two points?

Add the x-coordinates and divide by 2, then add the y-coordinates and divide by 2. Example: midpoint between (2, 4) and (8, 10) = ((2+8)÷2, (4+10)÷2) = (5, 7). Enter both points in Geometry mode of the midpoints calculator above to see the full working.

How do you find the midpoint between two numbers?

Add the two numbers and divide by 2. This gives the halfway point between them. Examples: midpoint between 10 and 90 = (10+90)÷2 = 50. Midpoint between 15 and 45 = (15+45)÷2 = 30. Midpoint between −20 and 60 = (−20+60)÷2 = 20. Use the midpoint calculator above for any two numbers.

How do you calculate the salary midpoint?

Salary midpoint = (Minimum + Maximum) ÷ 2. For a pay range of $60,000 to $90,000: salary midpoint = ($60,000 + $90,000) ÷ 2 = $75,000. Use the Salary Midpoint mode in the calculator above. The salary midpoint represents the target market rate for a fully competent employee in the role.

How do you calculate the midpoint of a salary range in HR?

Add the minimum and maximum of the salary band and divide by 2. This is the salary midpoint calculation used in compensation planning. It tells you whether an employee's pay is below market (below midpoint), at market (at midpoint), or above market (above midpoint). The midpoint salary calculator mode above handles this instantly for any pay range.

How do you calculate the class midpoint in statistics?

Class midpoint = (Lower class boundary + Upper class boundary) ÷ 2. For a class interval of 20–30: class midpoint = (20+30)÷2 = 25. Class midpoints are used to represent all values within a class interval when calculating the mean from grouped data. Use the Statistics mode in the midpoint calculator above to find class midpoints for any interval.

How do you calculate midpoints in statistics for a frequency table?

Apply the class midpoint formula to every row: (Lower + Upper) ÷ 2. For a frequency table with classes 0–10, 10–20, 20–30: midpoints are 5, 15, 25. Then multiply each midpoint by its frequency (f × m) and sum the results to calculate the estimated mean from grouped data. Use the Statistics mode for each class interval.

What is the midpoint formula in economics?

The midpoint method in economics calculates price elasticity of demand using the average of old and new values as the denominator — this gives a consistent result regardless of price direction. Formula: % Change in Quantity ÷ % Change in Price, where each % change uses the midpoint of old and new values as the base. Also called the midpoint formula calculator for elasticity or the midpoint method economics formula.

What is a halfway point calculator used for?

A halfway point calculator finds the exact middle between any two values. Common uses: finding the centre of a line segment in geometry, the midpoint between two coordinates on a map, the salary midpoint of a pay band, the class midpoint in a statistics frequency table, and finding the arithmetic mean of two data points. This midpoint calculator handles all of these in one tool.

Is this midpoint calculator free?

Yes — completely free, no account needed. All three modes (geometry midpoint, salary midpoint, statistics class midpoint) run instantly in your browser. Nothing is stored or sent anywhere.