About Root Mean Square Formula
The root mean square formula gives the square root of the total addition of squares of each data in observation. Root mean square is the square root of the arithmetic mean of squares of a group of values. It is also called quadratic mean. Root mean square value for a function can also be explained for a continuously varying function in terms of an integral of squares of instantaneous values during a cycle. Here, the root means square formula calculates the square root of the arithmetic means of the square of the function that explains the continuous waveform. Check out the list of Maths formulas prepared by the experts of Home tution.com
What is Root Mean Square Formula?
Formula 1
For a group of "n" values including x1,x2,x3,….in root mean square formula can be given as,
Here Xrms = Root mean square value of the given "n" observations.
Where,x1,x2,x3.....xnare given "n" observations
Here, the Root mean square formula for continuous function f(t), defined for interval T1 ≤ t ≤ T2 is evaluated as, where firms = Root mean square value of given function f(t)
Where f(t) is a continuous function defined for the interval T1≤ t ≤ T2
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