The period of oscillation of a simple pendulum in the experiment is recorded as $2.63\, s, 2.56 s, 2.42\, s, 2.71\, s$ and $2.80 \,s$ respectively. The average absolute error is ......... $s$
The period of oscillation of a simple pendulum in the experiment is recorded as $2.63\, s, 2.56 s, 2.42\, s, 2.71\, s$ and $2.80 \,s$ respectively. The average absolute error is ......... $s$
$0.1$
$0.11$
$0.01$
$1.0$
The period of oscillation of a simple pendulum in the experiment is recorded as $2.63\, s, 2.56 s, 2.42\, s, 2.71\, s$ and $2.80 \,s$ respectively. The average absolute error is ......... $s$
Average value $ = \frac{{2.63 + 2.56 + 2.42 + 2.71 + 2.80}}{5}$ $ = 2.62\,\sec $
Now $|\Delta {T_1}|\, = \,2.63 - 2.62 = 0.01$
$|\Delta {T_2}|\, = \,2.62 - 2.56 = 0.06$
$|\Delta {T_3}|\, = \,2.62 - 2.42 = 0.20$
$|\Delta {T_4}|\, = \,2.71 - 2.62 = 0.09$
$|\Delta {T_5}|\, = \,2.80 - 2.62 = 0.18$
Mean absolute error
$\Delta T = \frac{{|\Delta {T_1}| + |\Delta {T_2}| + |\Delta {T_3}| + |\Delta {T_4}| + |\Delta {T_5}|}}{5}$
$ = \frac{{0.54}}{5} = 0.108\, = 0.11sec$