Four measurements of a distance were recorded as 284.18, 284.19, 284.22, and 284.20 meters and given weights of 1, 3, 2, and 4 respectively. Determine the weighted mean.
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- WEIGHTED MEASUREMENTS. A distance AB is measured five times as 610.03, 610.01, 610.05, 610.04, and 610.02 meters. The three measurements were given weights of 3, .2, 1, 2, and 3 respectively, by the head tapeman. Determine the weighted mean for distance AB. Also, determine what difference results if later judgement revises the weights to 2, 3, 1, 3 and 2.A distance AB is measured 5 times as 610.03, 610.01, 610.05,610.04 and 610.02 meters. The measurements were given weights of 3,2,1,2,and 3 respectively by the head tapeman. Determine the weighted mean for distance AB. Also, determine what difference results if later judgement revises the weights to 2, 3, 1,3, and 2.A distance AB is measured five times as 610.04, 610.05, 610.07, 610.12, and 610.04 meters. The measurements were given weights of 3, 2, 1, 2, and 3, respectively. Determine what difference in the weighted mean will result if later judgment revises the weights to 2, 3, 1, 3 and 2.
- Four measurements of a distance were recorded as 270.15, 270.17, 270.19, and 270.21 meters and given weights of 3, 4, 2, and 1 respectively. Determine the weighted mean.The instrument was set at point E and the rod readings at points E and F are taken as 3.226 meters and 4.304 meters, respectively. Then the instrument was set at point F and the rod readings at E and F are 2.3 meters and 3.208 meters, respectively. Determine the correct difference in elevation between E and F in meters. If elevation of F is 25 meters, what is the elevation of point E in meters?With the line of sight horizontal, solve for the stadia constant given the following? Station Occupied: A Station Observed: B Distance from A to B: [7+7](10) m Stadia Intercept = [10+7](10) em Station Occupied: A Station Observed: C Distance from A to C: [7](10) m Stadia Intercept = [10](10) cm Fundamental of surveying
- Determine the probable error and relative precision of the underlined distances and the mean of the measurements (in meters) given below: 1,250.30 1,251.05 1,249.95 1,250.50 1,251.10 1,251.00 1,250.75 1,250.00 1,250.45 1,250.25In this problem the weight an angle is assumed to be proportional to the number of times it has been measured by repetition. Five angles in a pentagon were measured with the of following results: 134°44’35’’, 167°02'05'’, 86°15’20’’, 75°48’50’’, and 76°08’50’’. If the number of repetitions for each measurement and were 2, 6, 6, 8, and 4, respectively, determine the adjusted values of the angles.16. The rectangular coordinates of a particle are given in millimeters as functions of time t in seconds by x = 20t + 3t² = 40 sin 2t, and z = 30 cos 2t. Determine the angle Teta1 between the acceleration a and the velocity v and the angle Teta2 between the position vector r and the acceleration a, both at time t = 3s.
- If the temperature and pressure at measurement time are 18°C and 760 mm Hg, respectively, what will be the error in electronic measurement of a line 3 km long if the temperature at the time of observing is recorded 10°C too high? Will the observed distance be too long or too short?Determine the most probable values for the x and y distances of Figure given below, if the observed lengths of AC, AB, and BC (in meters) are 315.297, 155.046, and 160.258,respectively.During a series of tape measurements of a line, following values were determined: 887.57 m, 887.42 m, 887.38 m, 887.24 m, 887.00 m, 887.46 m, 887.42 m, and 887.38 m. Compute for the following: a. Most Probable Value b. Probable Error of a single measurement c. Probable Error of the mean d. Final expression of the most probable length