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

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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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
Transcribed Image Text: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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