Leica MS50 - Page 98

MS50/TS50/TM50, Technical Data
98
Distance measuring
program Averaging
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:
The standard deviation of the arithmetic mean of the distance can be calculated as
follows:
Slope distance as arithmetic mean of
all measurements
 Sum
D
i
Single slope distance measurement
n Number of measurements
s Standard deviation of a single slope
distance measurement
 Sum
Slope distance as arithmetic mean of
all measurements
D
i
Single slope distance measurement
n Number of distance measurements
Standard deviation of the arithmetic
mean of the distance
s Standard deviation of a single meas-
urement
n Number of measurements
TS_114
· ∑ D
i
D =
1
n
n
i = 1
TS_115
s =
(D
i
- D)
2
n - 1
=
D
i
2
-
n - 1
( D
i
)
2
∑
n
i = 1
∑
n
i = 1
∑
n
i = 1
1
n
TS_116
S
D
=
n
s