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.
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Simplify the expression.
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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 .
Add and .
Add and .
Add and .
Add and .
Add and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Multiply by .
Combine and simplify the denominator.
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Evaluate the exponent.
Simplify the numerator.
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Combine using the product rule for radicals.
Multiply by .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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