5. In a certain river basin, there are six rain-gauge stations, the normal annual rainfall depths at the stations being 42.4, 53.6, 67.8, 78.5, 82.7, and 95.5 cm, respectively. Determine the optimum number of rain-gauge stations to be established in the basin if it is desired to limit the error in the mean value of rainfall over the catchment to 10% and indicate how you distribute them.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter16: Highway Drainage
Section: Chapter Questions
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5. In a certain river basin, there are six rain-gauge stations, the normal annual rainfall
depths at the stations being 42.4, 53.6, 67.8, 78.5, 82.7, and 95.5 cm, respectively.
Determine the optimum number of rain-gauge stations to be established in the basin if
it is desired to limit the error in the mean value of rainfall over the catchment to 10%
and indicate how you distribute them.
Transcribed Image Text:5. In a certain river basin, there are six rain-gauge stations, the normal annual rainfall depths at the stations being 42.4, 53.6, 67.8, 78.5, 82.7, and 95.5 cm, respectively. Determine the optimum number of rain-gauge stations to be established in the basin if it is desired to limit the error in the mean value of rainfall over the catchment to 10% and indicate how you distribute them.
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