FUNDAMENTAL SURVEYING Mathematics and Statistics 2

Question 1

What is the most probable value (MPV) in surveying?

Accepted Answer

The arithmetic mean of a set of equally weighted observations

Answer

The largest measured value

Answer

The median of the observations

Answer

The geometric mean of the observations

Question 2

If a traverse has a linear closure of 0.50 ft over a total distance of 2,500 ft, what is the precision ratio?

Accepted Answer

1/5,000

Answer

1/2,500

Answer

1/1,000

Answer

1/500

Question 3

What trigonometric formula is used to compute the area of a triangle given two sides and the included angle?

Accepted Answer

Area = (1/2) × a × b × sin(C)

Answer

Area = (1/2) × b × h

Answer

Area = √[s(s-a)(s-b)(s-c)]

Answer

Area = a² + b² − 2ab cos(C)

Question 4

A surveyor measures an angle 6 times and gets a standard deviation of 5″. What is the standard error of the mean?

Accepted Answer

2.04″

Answer

5.00″

Answer

30.00″

Answer

0.83″

Question 5

What is the departure (ΔE) of a line with a length of 200 ft and a bearing of S 30° W?

Accepted Answer

-100.0 ft

Answer

-173.2 ft

Answer

+100.0 ft

Answer

+173.2 ft

Question 6

In least squares adjustment, what quantity is minimized?

Accepted Answer

Sum of squared residuals

Answer

Sum of residuals

Answer

Maximum residual

Answer

Sum of absolute residuals