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