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Grade 12Mechanics

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s , 92 s and 95 s. If the minimum division in the measuring clock is 1 s , the reported means time should be

Profile image of Shivprasad Giri
7 Years agoGrade 12
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1 Answer

Profile image of Arun
7 Years ago
we know that Arithmetic mean time of a oscillating simple pendulum is given by 
∑ Xi / N = > { 90s+92s+93s+95s }/4   => 92 s 
and we know that mean deviation of a simple pendulum is given by 
∑ | Xbar  -  Xi |/N    = >  {2+1+3+0} /4  = >  1.5 
Given minimum division in the measuring clock , ie . simple pendulum = > 1s 
thus the reported mean time of a oscillating simple pendulum (92+,-2) s