2道误差分析题2-1．已知某仪器测量的标准差为0.5um.（1）若在该仪器上,对某一轴直径测量一次,测量值为26.2025mm,试写出测量结果.（2）若重复测量10次,测量值（单位：mm）为26.2025,26.2028,26.2028,

Question

2道误差分析题
2-1． 已知某仪器测量的标准差为0.5um.
（1）若在该仪器上,对某一轴直径测量一次,测量值为26.2025mm,试写出测量结果.
（2）若重复测量10次,测量值（单位：mm）为26.2025,26.2028,26.2028,26.2025,26.2026,26.2022,26.2023,26.2025,26.2026,26.2022,试写出结果.
（3）若手头无该仪器测量的标准差材料,试由（2）中10次测量值,写出（1）、（2）的测量结果.
2-2． 对某量进行15次测量,测量值（单位：g）为28.53,28.52,28.50,29.52,28.53,28.53,28.50,28.49,28.49,28.51,28.53,28.52,28.49,28.40,28.50,若测得值已消除系统误差,试用莱以特准则、格罗布斯准则判断测量列中是否含有粗大误差,并写出测量结果.

Answer 1

2-1：（1）26.2025mm=26202.5um,26202.5-0.5=26202um
(2) 10次测量均值为 26.2025mm=26202.5um,26202.5-0.5=26202um
（3）26.2025mm,10次测量均值为 26.2025mm
2-2：测量结果的算术平均值为：28.504.观测值的残差为：0.026,0.016,0.006,0.016,0.026,0.026,-0.006,-0.016,-0.016,0.006,0.026,0.016,-0.016,-0.104,-0.004
实验标准偏差为：