please show all the work. if it is not correct, please fix it. thanks

for table 1, the angle and experimental values were given

DATA TABLE 1

Purpose: To investigate the small-angle approximation.

Mass,m_________80.675g___________ Pendulum length,L___71.5cm_________________

Angle( degree)	experimental value of time period (s)	Theoretical value of time period (s)	percentage error %
5	1.676	1.696828	-1.24274
10	1.695	1.696828	-0.10787
20	1.712	1.696828	0.886194
30	1.718	1.696828	1.232342
45	1.749	1.696828	2.982941

Conclusion: there is a slight margin of error at higher values of swing angles particularly above 20 degrees.

----for table 2, the mass and experimental values were given.---

DATA TABLE 2

Purpose: To investigate period dependence on mass.

u _______15 degree_____________ L _______71.5cm_____________

mass (g)	experimental value of time period (s)	theoretical value of time period (s)	percentage error
228.6	1.749	1.696828	2.982941
83.245	1.748	1.696828	2.927439
245.532	1.752	1.696828	3.149066

Conclusion:- The value of time period is independent of the mass of the pendulum

for the table 3, the length and exp. values were given.

Table 3:-

Purpose: To investigate period dependence on length.

u ___15 degree_________________m_____60.675______________

Length (L)	experimental value of time period (s)	theoretical value of time period (s)	percentage error
0.41	1.234	1.284267	-4.07351
0.46	1.332	1.360324	-2.12642
0.53	1.449	1.460163	-0.7704
0.58	1.515	1.527487	-0.8242

Conclusion:-The value of Time period is directly propotional to the length of string i.e. the value of Time period increases with increase in length of string.