Leica TS12P User Manual page 72

Robotic total station
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Distance measuring
program Averaging
TS12P, Technical Data
In the distance measuring program Averaging, the following values are displayed:
D Slope distance as arithmetic mean of all measurements
s Standard deviation of a single measurement
n Number of measurements
These values are calculated as follows:
n
1
· ∑ D
D =
n
i
i = 1
TS_114
n
2
(D
- D)
i
i = 1
i = 1
s =
=
n - 1
TS_115
The standard deviation
follows:
s
S
=
D
n
TS_116
 Sum
D
n Number of measurements
s Standard deviation of a single slope
n
n
1
2
2
(
D
)
D i
-
i
n
 Sum
i = 1
n - 1
D
n Number of distance measurements
of the arithmetic mean of the distance can be calculated as
s Standard deviation of a single meas-
n Number of measurements
Slope distance as arithmetic mean of
all measurements
Single slope distance measurement
i
distance measurement
Slope distance as arithmetic mean of
all measurements
Single slope distance measurement
i
Standard deviation of the arithmetic
mean of the distance
urement
72

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