A distance AB is observed repeatedly using the same equipment and procedure, and the results in meters are listed in # 1-5. Based on the given, calculate the following; (a) compute the most probable length, (b) its relative precision if the probability of error is 95%. 1. 65.401, 65.400, 65.402, 65.396, 65.406, 65.403, 65.398, 65.407, 65.405 and 65.404 2. Same as # 1 but discard observation 65.396 3. Same as # 1 but discard observations 65.401 and 65.402 4. Same as # 1 but include two additional observations 65.400, 65.406 5. Same as # 1 but include three additional observations 65.398, 65.407 and 65.405

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter14: Highway Surveys And Location
Section: Chapter Questions
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This subject is surveying lecture about errors and mistakes. Please show complete solutions of no. 4 & 5.
Problem 1
A distance AB is observed repeatedly using the same equipment and procedure, and
the results in meters are listed in # 1-5. Based on the given, calculate the following;
(a) compute the most probable length, (b) its relative precision if the probability of
error is 95%.
1. 65.401, 65.400, 65.402, 65.396, 65.406, 65.403, 65.398, 65.407, 65.405 and
65.404
2. Same as # 1 but discard observation 65.396
3.
Same as # 1 but discard observations 65.401 and 65.402
4. Same as # 1 but include two additional observations 65.400, 65.406
5. Same as # 1 but include three additional observations 65.398, 65.407 and
65.405
Transcribed Image Text:Problem 1 A distance AB is observed repeatedly using the same equipment and procedure, and the results in meters are listed in # 1-5. Based on the given, calculate the following; (a) compute the most probable length, (b) its relative precision if the probability of error is 95%. 1. 65.401, 65.400, 65.402, 65.396, 65.406, 65.403, 65.398, 65.407, 65.405 and 65.404 2. Same as # 1 but discard observation 65.396 3. Same as # 1 but discard observations 65.401 and 65.402 4. Same as # 1 but include two additional observations 65.400, 65.406 5. Same as # 1 but include three additional observations 65.398, 65.407 and 65.405
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