Sample Root Mean Square
Calculate the sample root-mean-square for the values: 0, 2, 4, 9, 11
Expand Hint
Logically think through the mathematical operations associated with “root”, “mean”, and “square” and the order they are arranged in.
Hint 2
The sample root-mean-square value:
$$$RMS=\sqrt{\left ( \frac{1}{n} \right )\sum X_{i}^{2}}$$$
where
$$n$$
is the number of items or observations and
$$X_i$$
is the value of the ith observation.
The sample root-mean-square value:
$$$RMS=\sqrt{\left ( \frac{1}{n} \right )\sum X_{i}^{2}}$$$
where
$$n$$
is the number of items or observations and
$$X_i$$
is the value of the ith observation.
$$$RMS=\sqrt{\frac{0^2+2^2+4^2+9^2+11^2}{5}}$$$
$$$=\sqrt{\frac{0+4+16+81+121}{5}}=\sqrt{\frac{222}{5}}=\sqrt{44.4}=6.7$$$
6.7
Time Analysis
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