Please can you help me with my civil engineering homework? - theodolite measure
At an angle several times with a theodolite, measure and record the following observations:
114 ° 27 '49 "
114 ° 27 '37 "
114 ° 27 '39 "
114 ° 27 '41 "
114 ° 27 '43 "
114 ° 27 '44 "
What is your best estimate of the actual value of the angle? Add your answer to the 1st Decimal seconds.
What is the standard error of the observations? Add your answer to the 1st Decimal seconds. All workers
thankyou thankyou thankyou
Friday, January 8, 2010
Theodolite Measure Please Can You Help Me With My Civil Engineering Homework?
4 comments:
Note: the name is used B "A" C "=
(In degrees, minutes and seconds, B, C)
The method is simple.
Here you will find the standard deviation (SD) and the average. Stastics is simple.
The first column is X
The second column (X-mean)
The third column (X-mean) 2
114 '27 '49 "----------- 6833 "----------------- 0.0 ...
114 '27 '37 "----------- 5167 (negative 0.01 )---- "
114 '27 '39 "----------- 3167 (negative 0.01 )---- "
114 '27 '41 "----------- 1167 "(0001 )---- negative
114 '27 '43 "------------ 0833 "-------------- 0.000 ...
114 '27 '44 "------------ 1833 "---------------- 0.001 "
sum = 686 '46 '13 "
the sum of the last column of 0.03201 "
Media = 114 '27 '42, 167 "
(114 degrees 27 minutes 42,167 seconds)
You use the formula of standard deviation, gand S = 0 '0 '4 .23 "
In stastics a degree of confidence in the prediction of the reaction. The most commonly used, 95%.
Then, with 95% of the error E = ± 1.9599 (SD)
E = ± 8.29 "
Margin of error is ± sqrt (SD) / n
(where n = number of observations)
Margin of error = ± 1.73 "
Tools indication of the expected value of the average error rate ± "
Thus the most probable value of 114 '27 '42, 167 '± 0 '0 '1 .73'
114 27 42,166 recurring
All estimates are good. However, for a "situation", do you use the larger or higher and a no-go "situation, use the lowest value. Good luck.
All estimates are good. However, for a "situation", do you use the larger or higher and a no-go "situation, use the lowest value. Good luck.
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