A surveying instructor sent out five groups of students to measure a distance between two points marked on the ground. The students came up with the following measurement values: 100.81m, 100.62m, 100.73m, 100.76m, and 100.69m. Assuming these values are equally reliable and that variations result from accidental errors, determine the most probable value of the distance measurement. Determine the PE of the mean and each single observations. Show complete solution

Q: The following data were obtained by stadia measurement. If the height of the instrument is 1.362m…

A: K=96.8m C=0.3m S1=2.216m S2=1.06m

Q: Which of the following mistakes was made by a measurement team trying to take a length measurement…

A: Solution: The correct option to the above given question is "option a". i.e Horizontal error

Q: A distance AB is observed repeatedly using the same equipment and procedure, and the results in…

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A:

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Q: A 50m tape was used to measure a line DE. The adjusted distance of line DE is 120.23m long. If the…

A: given data  actual length of tape (L) = 50m error(e) =0.04m( TOO SHORT) true length of tape (T.L) =…

Q: The length of a line was measured repeatedly on three different occasions and probable error of each…

A:

Q: PROBLEM NO.04. The length of a line was measured repeatedly on three different occasions and…

A: To find weighted mean

Q: The following values were determined in a series of a tape measurements of a line: 1000.58,1000.40,…

A:

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A:

Q: An angular measurement has a precision of 1:287. What is the angular error in MINUTES.  You can use…

A: Precision of  angular measurement is 1 : 287

Q: line was measured by a 100m tape and found out to be 400m long. It was found out that the first pin…

A:

Q: The following values were determined in a series of tape measurements of a line: 1000.58, 1000.40,…

A: We will use the standard formula to calculate the standard deviation.

Q: The distance between point A and B was measured 15 times. The mean of the 15 measurements is…

A: Given data- Sample size n = 15Mean=124.555'Standard deviation σ= 0.500'To Find-The 50% Error E

Q: b) Determine the measured the Correction due to Pull for line

A: Given, Pull applied, Pa= 75kg Standard pull, Ps= 50 kg Area, A= 6.50 mm2 Modulus of Elasticity, E=…

Q: A 100-m tape that is "x" m. too long was used to measure two points and the result is 420.307m. It…

A: True length of tape,TL =(100+x) mNominal length of tape, NL = 100 mMeasured distance between two…

Q: the relative precision would be expressed

A: Relative Precision = 0.0002

Q: D. (Round off to 3 decimal places) An angle was measured with different weights as follows:…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: Two engineering students use a steel tape to measure a base line repeatedly and the results in…

A: Most probable value is the mean of values given when weight is same for all.It is the value which…

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A:

Q: ERBsent out six groups of students to measure a distance between two points on the ground. The…

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Q: A line’s length has been measured repeatedly on different occasions. The following are the results…

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Q: as computed with the following results: 1st set of measurements = 1201.50 0.02m 2nd set of…

A: Given:- 1st set of measurements = 1201.50 0.02m2nd set of measurements= 1201.45 0.04m3rd set of…

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A:

Q: Example 14.1 The stadia readings with sight horizontal taken on a vertical staff 60 m away from the…

A:

Q: Datum in the figure, A. Ar elev, eleve and the measured slope length L were 1.634, 1.546, 987.207,…

A: he =1.634 mhr = 1.546 mElevA = 987.207 mElevB = 1006.816 mL = 435.955 m

Q: Given are the interior angles of a heptagon. Determine the discrepancy for the givenobservation and…

A: As per authoring guidelines, if the question number is not specified, the first question or three…

Q: 1. The distance from points A to point B was recorded as 576.35 m and the reverse distance was…

A: Given data, Distance from A to B = 576.35 m Reverse distance from B to A = 576.39 m

Q: 2 points B & C were observed from point A where the instrument was set up at a height of 1.25m.…

A:

Q: Calculate the error (mm) in the linear measurement of offset, if the length of the offset is 80 m,…

A: Given: The length of the offset is 80 m. The accuracy in the measurement of the length is 1 cm in 60…

Q: 2. The discrepancy for the measurement is the difference between the first measurement and the…

A: Given Data:

Q: 1. What is the distance between the stadia hairs on the instrument's scope? (answer in mm) 2. What…

A:

Q: using the method in analysis of beam deflections and rotations (CONJUGATE BEAM METHOD), find the ff.…

A: Given, Young modulus E is 80 GPa Moment of inertia I is 100×106 mm6

Errors in surveying

An error in surveying is defined as the difference between two or more values of an identical quantity. However, the estimates are never accurate and there will always be a degree of variability regardless of the research tool or method used. These differences are known as errors that need to be reduced or eliminated to maintain certain levels of accuracy. Even if you carefully follow the prescribed test procedures, the considerations may contain errors.