Statistical Measurements

The Statistics computed for Object and Field Measurements are derived as follows:

Statistic	Note	Formula
Count of Items	total number of items considered in the data set	Count = N
Minimum	minimum occurring value in the data set	Min (x)
Maximum	maximum occurring value in the data set	Max (x)
Total Value	sum of all values in the data set	Total value = (Σx)
Mean	total value divided by count of items	µ = (Σx)/N
Sample Variance	used to characterize incomplete samples	s² = (Σx² - (Σx)²/N)/N
Sample Standard Deviation	used to characterize incomplete samples	s = √(s² )
Population Variance	used to characterize complete samples	s² = (Σx² - (Σx)²/N)/(N-1)
Population Standard Deviation	used to characterize complete samples	s² = (Σx² - (Σx)²/N)/(N-1)
Standard Error of the Mean	experimental uncertainty of an averaged measurement	sµ = s / √N
Total of values squared	sum of squares	Σx²
Total of reciprocal values	sum of reciprocals	Σ1/x

Further statistics can be derived by combining measurement statistics and partial statistics using Custom Measurements.