An angle was repeatedly measured and noted as in the Table 1 . ( 18pts
Table 1. Repeated measurements of the angle
able[[No.,Measurement,Residual,Residual square],[1,100deg 15^(')36^(''),,],[2,100deg 15^(')42^(''),,],[3,100deg 15^(')30^(''),,],[4,100deg 15^(')33^(''),,],[5,100deg 15^(')40^(''),dots,],[6,100deg 15^(')35^(''),,],[7,100deg 15^(')37^(''),,],[8,100deg 15^(')36^(''),dots,]]
a) Calculate the mean of the measurements.
b) Calculate the standard deviation of the measurement.
c) Calculate the standard deviation of the calculated mean value.
2. An angle was repeatedly measured and noted as in the Table 1.18 pts
Table 1.Repeated measurements of the angle Measurement Residual Residual square 10015'36 10 10015'42 10015'30 10015'33 1001540 10015'35 10015'37 10015'36
No. 1 2 3 4 5 6 7 8
a)
Calculate the mean of the measurements
b)
Calculate the standard deviation of the measurement.
c)
Calculate the standard deviation of the calculated mean value