What is the total random error in 11 measurements, if you ?know the single random error is + 10.9 mm

Q: The weight of an angle is assumed to be proportional to the number of times it has been repeated.…

A: Summation of all angles(five sided figure) LA+LB+LC+∠D+LE=539°59'40''…

Q: What is the standard deviation of the adjusted value for the following set of 10 distance…

A: Given: The number of observations is 10. The data of observation is 532.688, 532.682, 532.682,…

Q: If the single random error + 17.9 mm, the total :random error in 6 measurements is

A: Consider the given data The total number of measurement=N N= 6  Single random error =e e = ±17.9 mm…

Q: Determine the estimated error in length of AE that was observed in sections as follows: Section…

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Q: Measurement of a line was taken ten times with a steel tape and found to be as under 100.54 m,…

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Q: An angle is measured six times and the following values are obtained: 175°38'50" 175°38'55"…

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Q: A bar of circular cross-section varies uniformly from a cross-section 2D to D. If extension of the…

A: Given:- A bar of circular cross section Cross section varies from 2D to D To find:- Percentage error…

Q: Given in Figure 3.1 are the observed forward and back bearings of a closed compass traverse. Adjust…

A: Submission of all angle for 6 line should be 720° Fore bearing and back bearing of traverse change…

Q: 2. The following are the observations made on the same angle: 47°26'13" 47°26'18" | 47°26'10" |…

A: Note:- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

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: 12. Find the relative error in the computed area of an equilateral triangle due to an error of 3% on…

A: Solution: a'=1+0.03a Area; A=34a2 Area'=34×1.03a2 Relative error: R=A'-AA×100

Q: What is the most probable value of the distance measured?

A: Most probable value of the distance measured is  3.358±0.041 m

Q: 2. In the figure , the width of a river being observed is 80m, Assuming the transit being used has a…

A: Given data in question  Width of river Value if K Value of C To find out  DL , DR and Stadia…

Q: A distance of 1500 m was measured with a 20 m chain. After the measurement chain was found to be 60…

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Q: ccuracy, precision, Systematic and random errors.

A: The concept where the idea of the extent of  closely a measurement or observation comes to measuring…

Q: d. e. f. Using a ruler to measure a box in front of you is an example of an indirect observation.…

A: Answers (d) Using a ruler to measure a box in front of you is an example of an indirect observation…

Q: The observed interior angles of a triangle are A =35°14’37”, B = 96°30’09”, C= 48°15’05”. Determine…

A: To find discrepancy

Q: Rectilinear Motion: A particle is moving with an acceleration of a = (10t - 3) m/s^2 (t = seconds).…

A: a=10t-3we knowd2sdt2=ad2sdt2=10t-3integratedsdt=10t22-3t+c1s=10t36-3t22+c1x+c2at t=0 s=0 and…

Q: Given in Figure 3.1 are the observed forward and back bearings of a closed compass traverse. Adjust…

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Q: A horizontal angle is measured five times 156°45'34" 156°45'38" 156°40'34" 156°45'29" 156°45'32"…

A: horizontal angles mean 156°44'33'' V2=(difference b/w mean and observed angle) in seconds…

Q: Difference Dangkal-derived distance Dimension Ruler-Distance Length 2.13 + 0 m 9.58 +0.351 Width…

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Q: What is the total random error in 13 measurements, if you know the single random error is + 5.0 mm?…

A: Ans is +_ 18.02 mm

Q: vorking in groups of four came up with 10 different measurements as follows: 920.45, 921.05, 921.65,…

A: Formula used- Em=Es/nand Es=±0.6745∑V2/(n-1)where Es= probable error in single…

Q: In the figure , the width of a river being observed is 80m, Assuming the transit being used has a K…

A: Given data : Additive constant (C)=0.20Multiplying constant (K)=99Width of river=80 mDR-DL=80…

Q: Given the following information:   sum of squared errors = 470.60, sum of (yi-ybar)^2= 1623 what…

A: As we can see in the question sum of squared error and sum of squared total is given. So we have to…

Q: (e). The following are the observed values of an angle and their weightage: Find: i. Probable error…

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

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Q: A surveying instructor sent out 6 groups of students to measure a distance between two points marked…

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Q: WEIGHTED MEASUREMENTS. If is desired to determine the most probable value of an angle which has been…

A: Given: The angle obtained in the 2 measurements is 74o39’45”. The angle obtained in the 4…

Q: While surveying a cave, a spelunker follows a passage 180 m straight west, then 210 m in a direction…

A: Consider the person goes a distance of 180m towards the west. it is represented by vector A→ The…

Q: I measure the length of a building 10 times, using a tape measure. Use the following observations to…

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Q: Q2) the following table represent the three sets of measurements of the length of a straight line by…

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Q: 11. As part of a project, you have been asked to determine the adjusted height of a client's office…

A: The design matrix is defined to be a matrix X so that :Xij (the jth column of the ith row of X) that…

Q: 1. Is there a difference between calculated and observed values for the resultant? What could…

A: Given Data For Question- (2) Given vectors- To Find- The resultant of the vectors.

Q: The same distance is measured five times with the same metric belt and in the same weather…

A: Finding out standard deviation.

Q: What is the total random error in 8 measurements, if you know the single random error is 18.0 mm?

A: Given: The total number of measurements is 8. The single random error is ±18.0 mm.

Q: The following are the observations made on the same angle. It is assumed that all systematic errors…

A: Since, the question contains a number of subparts, the solution for first three subparts are as…

Q: Find the relative error of the following cases. Also, detemine the number of significant digits in…

A: Given data: x=2.818238112 and x=2.81823 z=0.00000067 and z=0.000006

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

A: Note : Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: proups of Surveying Students is measuring a Certain distance the result were tabulated as shown.…

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Q: 2. The following are the observations made on the same angle: 47°26'13"| 47°26'18" | 47°26'10" |…

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Q: From the measured values of distance AB, the following data were recorded. DATA DISTANCE NO. OF…

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Q: From the measured values of distance AB, the ff. trials were recorded. TRIALS DISTANCE 1 120.68 2…

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Q: 3. It is desired to determine the most probable value of an angle which has been measured at…

A: In surveying, the measurement is done manually or digitally and during this process, errors may…

Q: The following are the observations made on the same angle: 47°26'13"| 47°26'18" | 47°26'10" |…

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

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

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Q: The length of a base line was measured using two different EDM instruments A and B under identical…

A: To determine: Relative precision and most probable length of base line. Relative Pression: The ratio…

Q: Trial Observations 1 485.4698 487.5846 487.6895 4 486.4587 5 488.1459 3.

A: given- observation for measurement of line  to find - true length of line

Q: Q.2. A distance AB is observed repeatedly using the same equipment and procedures, and the results,…

A: Take average of unrepeated values : = 65.401+65.4+65.402+65.396+65.406+65.405+65.404+65.398+65.4089…

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.