Suppose that a line has been observed 10 times using the same equipment and procedures. The results are shown in the following table. It is assumed that no mistakes exist, and that the observations have already been corrected for all systematic errors. Compute the most probable value for the line length, its standard deviation, probable error, and two-sigma error.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Suppose that a line has been observed 10 times using the same equipment and
procedures. The results are shown in the following table. It is assumed that no
mistakes exist, and that the observations have already been corrected for all
systematic errors. Compute the most probable value for the line length, its standard
deviation, probable error, and two-sigma error.
Length
464.10
No.
1
468.51
3
468.37
4
469.61
5
468.52
467.93
7
465.70
8
468.95
468.73
10
470.78
Transcribed Image Text:Suppose that a line has been observed 10 times using the same equipment and procedures. The results are shown in the following table. It is assumed that no mistakes exist, and that the observations have already been corrected for all systematic errors. Compute the most probable value for the line length, its standard deviation, probable error, and two-sigma error. Length 464.10 No. 1 468.51 3 468.37 4 469.61 5 468.52 467.93 7 465.70 8 468.95 468.73 10 470.78
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