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distribution of a random variable.
Task 1.1
During the study, the gas permeability of rock sample at a
0
pressure of 40 MPa and a temperature of 80 С got six values of
2
coefficient of permeability, mkm : 0.15; 0.14; 0.18; 0.2; 0.13;
0.17. Determine the root mean square deviation, absolute and
relative measurement error.
Solving:
Arithmetic mean value of the measurement results is
determined by the formula:
k k k k k k
k 1 2 3 4 5 6
a 6
, 0 15 , 0 14 , 0 18 2 , 0 , 0 13 , 0 17
2
k , 0 16167 mkm .
a 6
Absolute errors of measurement are determined by the
formulas:
2
k k , 0 15 , 0 16167 , 0 01167 mkm ;
1 1 a
2
k k , 0 14 , 0 16167 , 0 02167 mkm ;
2 2 a
2
k k , 0 18 , 0 16167 , 0 01833 mkm ;
3 3 a
2
k k 2 , 0 , 0 16167 , 0 03833 mkm ;
4 4 a
2
k k , 0 13 , 0 16167 , 0 03167 mkm ;
5 5 a
2
k k , 0 17 , 0 16167 , 0 00833 mkm .
6 6 a
Determining arithmetic mean value of absolute error by the
formula:
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