Relative Percent Difference Formula

Introduction to relative percent difference formula:

Percent difference or relative percent difference (RPD) among two numbers is the difference among them as a percent of one of them. It is frequently used as a quantitative indicator of quality pledge and quality control for frequent measurement where the result is expected to be the similar. The common obligation for choosing two values to be contrast is that the user of this method expects the two values to be numerically equal. This article defines the relative percent difference formula and its example problems.

Relative Percent Difference Formula:

Let, we see about the formula used to find the relative percent difference.

The difference percent of two experimental values x1 and x2, can be determined by dividing the absolute difference of the two data by the average value of the similar two values as described in the below formula:

% Difference:

` |(x1-x2)/(((x1+x2))/2)|xx100`

Here, x1 and x2 should have equal units order to be compared properly with one another. And as state before, a zero percent difference is best and the higher the percent data, the low precision of the two datas.

Examples Using Relative Percent Difference Formula:

Example 1:

If the value of x1 = 20 and the value of x2 = 15 then find the relative percent difference using the formula.

Solution:

Given x1= 20 and x2= 15

Formula:

` |(x1-x2)/(((x1+x2))/2)|xx100`

Solve:

% diff:

`= |(20-15)/(((20+15))/2)|xx100`

`= |(5)/(((35))/2)|xx100`

`= |(5)/17.5|xx100`

`= |0.2857|xx100`

= 28.57

Which is the required relative percent difference.

Example 2:

If the value of x1 = 30 and the value of x2 = 10 then find the relative percent difference using the formula.

Solution:

Given x1= 30 and x2= 10

Formula:

` |(x1-x2)/(((x1+x2))/2)|xx100`

Solve:

% diff:

`= |(30-10)/(((30+10))/2)|xx100`

`= |(20)/(((40))/2)|xx100`

`= |(20)/20|xx100`

`= |1|xx100`

=100

Therefore, 100 is the required relative percent difference. Is this topic how to measure diameter hard for you? Watch out for my coming posts.

Practice Problems Using Relative Percent Difference Formula:

Problem 1:

If the value of x1 = 10 and the value of x2 = 8 then find the relative percent difference using the formula.

Solution:

22.22

Problem 2:

If the value of x1 = 100 and the value of x2 = 50 then find the relative percent difference using the formula.

Solution:

66.66