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The average value of a function \( f(x) \) over the interval, \( [a, b] \) is the number
\[
\mu=\frac{1}{b-a} \int_{a}^{b} f(x) d x
\]
The square root \( \left\{\frac{1}{b-a} \int_{a}^{b}[f(x)]^{2} d x\right\}^{1 / 2} \) is called the root mean square of \( f \) on \( [a, b] \). The average value \( \mu \) is attained if \( f \) is continuous on \( [a, b] \).

The average ordinate of \( y=\sin x \) over the interval \( [0, \pi] \) is
(a) \( 1 / \pi \)
(b) \( 2 / \pi \)
(c) \( 4 / \pi^{2} \)
(d) \( 2 / \pi^{2} \)
\( \mathrm{P} \)
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