The speeds of 22 particles are as follows \( \left(N_{i}\right. \) represents the number of part...

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The speeds of 22 particles are as follows \( \left(N_{i}\right. \) represents the number of particles that have speed \( v_{i} \) ):
\begin{tabular}{lccccc}
\hline\( N_{i} \) & 2 & 4 & 6 & 8 & 2 \\
\( v_{i}(\mathrm{~cm} / \mathrm{s}) \) & \( 1.0 \) & \( 2.0 \) & \( 3.0 \) & \( 5.0 \) & \( 6.0 \) \\
\hline
\end{tabular}
What are (a) \( v_{\text {avg }},(\mathrm{b}) v_{\mathrm{rms}} \), and (c) \( v_{P} \) ?
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