A surveying instructor sent out six groups of students to measure a distance between two points marked on the ground. The students came up with the following six different values: 250.25, 250.15, 249.90, 251.04, 250.50, and 251.22 meters. Assuming these values are equally reliable and that variations result from accidental errors, determine the (a) most probable value of the distance measured, (b) probable error of a single measurement and (c) probable error of the mean

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Q: Show full solution

A: Step 1:Iteration 1: r₁ = S/(πr₀² + h²) = 1800/(π(17)² + 25²) ≈ 10.73 mIteration 2: r₂ = S/(πr₁² +…

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

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Q: 6. A line was measured 5 times with a tape on a windy day with these results: 286.85, 286.96,…

A: Given:- The results of the 5 times line measurement with a tape = 286.85, 286.96, 286.77, 286.80,…

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Q: A distance of 577.80 ft is measured by surveying crew. The true distance is later found to be 577.98…

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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.