Learn Root Mean Square(RMS)/Quadratic Mean(QM) tutorial, definition, example, formula

Root Mean Square(RMS)/Quadratic Mean Tutorial

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Root Mean Square(RMS)/Quadratic Mean(QM) Tutorial

Root Mean Square(RMS)/Quadratic Mean(QM) Definition:
Square root of the mean square value of a random variable. In otherwords, we can define the root mean square is a statistical measure of the magnitude of a varying quantity. It can be calculated for a series of discrete values or for a continuously varying function. It is also known as Quadratic Mean(QM).

Root Mean Square/Quadratic Mean Formula:
Root Mean Square/Quadratic Mean = Sqrt((X₁)²+(X₂)²+(X₃)²+........+(X_N)²/N)
where
X = Individual score
N = Sample size (Number of scores)

Root Mean Square(RMS) Example: To find the Root Mean Square of -2,-1,-3,1,5.

Step 1: Count the total number of values.
N = 5

Step 2: Square all the values.
4,1,9,1,25

Step 3: Take the average of the square values.
4+1+9+1+25/5 = 40/5 = 8

Step 4: Take the square root of the average values.
RMS/QM = sqrt(8) = 2.83

This example will guide you to calculate the Root mean square/Quadratic Mean manually.

Related Calculator:
>> Root Mean Square(RMS)/Quadratic Mean(QM) Calculator.

This tutorial will help you dynamically to find the Root Mean Square(RMS)/Quadratic Mean(QM) problems.