# Statistics Examples

, , , , ,
Step 1
The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.
Step 2
Simplify the result.
Simplify the expression.
Raise to the power of .
Raise to the power of .
Raise to the power of .
Raise to the power of .
Raise to the power of .
Raise to the power of .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Multiply by .
Combine and simplify the denominator.
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Simplify the numerator.
Combine using the product rule for radicals.
Multiply by .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: