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.

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

Section: Chapter Questions

Problem 1P

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

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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

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