1. The following readings were recorded for a theodolite error test.
11.1 14.2 18.1 9.8 10.5 13.4 14.5 15.5 9.0
14.2 12.2 15.8 13.4 13.2 14.6 14.2 9.5 12.6
13.4 12.0 10.2 9.8 12.5 17.8 15.4
For the above, compute the standard deviation, σ, and plot a histogram.
2. Test the data in the first problem for wild values using 2.5σ as the rejection criteria.
3. Test the data in the first problem for randomness and symmetry by comparing the
mean, median, and mode.
4. Compute E
90
and E
95
for the problem in the first problem, count the number of
values within these ranges, as well as the σ range and compare this count with the
number expected from theory.
5. Three distances, each having uncertainties of ± 1.0 cm. were added to four others,
each having uncertainties of ± 0.5 inches. What is the uncertainty in the sum of the
seven segments, in feet?
6. What is the uncertainty in the radius of a circle, given the circumference as 200.00’
± 0.05’?
7. A party chief estimates that both he and the rear tape operator can read and mark
each tape end to ± 0.01’ using a 100-ft. steel tape. What is the uncertainty in a
1,000-ft distance laid out with this tape due to this error source?
8. A stadia distance is observed over sloping ground. The upper crosswire reading is
6.12’ and the lower crosswire reading is 3.41’. The vertical angle observed when
these readings were taken was -5º 16’. The random error in each crosswire reading
is assumed to be ± 0.005’ and in the vertical angle, ± 30”. What is the horizontal
distance between the instrument and rod and the uncertainty in this distance?
SURVEYING ENGINEERING
FERRIS STATE UNIVERSITY
SURE 372 Adjustment Computations 1 Fall 2005/06
Homework #9
