[Mid-Term Exam A Point 21) A student named Mariana makes measurements of time of

Question

[Mid-Term Exam A Point 21) A student named Mariana makes measurements of time of 20 oscillation in the pendulum experiment which is set up with 100 g bob, string length, Im and angle 6 y, she lost the data of ta. However, she have known the mean value as 41.20s 41.30s41.20s 41.42s 7277 s 40 908 (a) Mean value is 41.20s. Find ta.and draw the mark of this data into the graph (b) Find the standard deviation of this experiment (c) Find the percent error of ts. Mariana's Measurment of Time vs Trials for Pendulunm Time(s) 413 414 41.2 40.8 .51 s Trials b) c)

Explanation / Answer

a) using the formula

t=t1+t2+t3+t4+t5 / 5

where t is the average value

putting all the values in above formula and solving for t4 we get,

t4=41.18

locate point (4 ,41.18) on the graph

b) standard deviation, s= sqrt(((ti-t)2) / (n-1)) where i varies from 1 to 5 and n=5

s= (0.01+0+0.0484+0.0004+0.09)/4

s=0.1928

c) (t3-t)/t *100 = 22% error

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