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. The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505?
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. The distance between two points A and B was measured 3 times under i...
Most Probable Error:

The most probable error is a measure of the precision of the measurements and is given by the formula:

Most Probable Error (MPE) = ± (0.6745 * Range / √N)

where Range is the difference between the maximum and minimum measured values, and N is the number of measurements.

Given that the measured values are 53.56, 53.52, and 53.54, the range is calculated as:

Range = Maximum value - Minimum value
= 53.56 - 53.52
= 0.04

N is equal to 3 since there are 3 measurements.

Substituting the values into the formula, we get:

MPE = ± (0.6745 * 0.04 / √3)
= ± (0.6745 * 0.04 / 1.732)
≈ ± 0.01349

Therefore, the most probable error is approximately ± 0.01349.

Maximum Error:

The maximum error is a measure of the accuracy of the measurements and is given by half the range of the measurements.

Maximum Error = 0.5 * Range

Using the same range value as calculated before, the maximum error is:

Maximum Error = 0.5 * 0.04
= 0.02

Therefore, the maximum error is 0.02.

Final Answer:

Based on the calculations, the most probable error is approximately ± 0.01349 and the maximum error is 0.02.

Therefore, the correct option is (A) ± 0.01349, ± 0.0658.
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. The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505?
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. The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about . The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505?.
Solutions for . The distance between two points A and B was measured 3 times under identical conditions and the measured values were recorded as 53.56, 53.52, 53.54. Most probable error and Maximum error is (A) � 0.01349, � 0.0658 (B) � 0.04349, � 0.0958 (C) � 0.06300, � 0.0850 (D) � 0.03500, � 0.0505? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
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