Calculate an average rate of change between two points as change in y over change in x, or find a balance-weighted average rate or the mean of two rates.

Find the change in y for each unit of x between two points.

Optional settings

Related Calculators

Two-Point Average (Arithmetic Mean) Formula

The following two example problems outline the steps and information needed to calculate the two-point average (the arithmetic mean) of an initial and final rate.

AVR = (IR + FR) / 2
  • Where AVR is the two-point Average Rate (simple arithmetic mean)
  • IR is the initial rate 
  • FR is the final rate 

To calculate the two-point average rate, sum the initial and final rates, then divide by 2 (this is an equal-weighted average of the two values).

How to Calculate a Two-Point Average Rate?

The following example problems outline how to calculate the two-point Average Rate (arithmetic mean).

Example Problem #1:

  1. First, determine the initial rate.
    • The initial rate is given as 50.
  2. Next, determine the final rate.
    • The final rate is provided as 90.
  3. Finally, calculate the Average Rate using the equation above: 

AVR = (IR + FR) / 2

The values provided above are inserted into the equation below and computed.

AVR = (50 + 90) / 2 = 70

Example Problem #2: 

For this problem, the variables required are provided below:

initial rate = 40

final rate = 30

Test your knowledge using the equation and check your answer with the calculator.

AVR = (IR + FR) / 2 = (40 + 30) / 2 = 35