I am having a question concerning multiple measurements of the period of a pendulum, for let's say the determination of [itex]g[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

Let's say I am using a stopwatch with an uncertainty in time [itex]\delta t[/itex] and I measure 10 times the period of the pendulum: [itex]T_1, T_2,...,T_{10}[/itex].

Are the two following approaches equivalent?

WAY 1:determine the [itex]g_1, g_2, ...,g_{10}[/itex] from the periods and the [itex]\delta g[/itex] and then take the average+std.

WAY 2:obtain the average period [itex]T[/itex] and its std from the different measurements and calculate [itex]g \pm \delta g[/itex] from error propagation.

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# Which way to obtain ##f(x)## from measuring ##x_i##

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