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LIST_STAT_STD_DEV

constant
Constant
integer LIST_STAT_STD_DEV = 5;

Constant groups

ListStatisticsOperation

Other ListStatisticsOperation values (9)

Calculates the sample standard deviation of a list of numbers.

float sample_standard_deviation = llListStatistics( LIST_STAT_STD_DEV, numList );

Standard deviation is a measure of how spread out the values are, and is defined as the square root of the average of the squares of the numbers:

integer count = (integer)llListStatistics( LIST_STAT_NUM_COUNT, numList );
float standard_deviation = llSqrt( llListStatistics( LIST_STAT_SUM_SQUARES , numList ) ) / count;

The sample standard deviation is used when the list doesn’t (or can’t) include the entire set of numbers, like the mass of every prim in SL. The true standard deviation is therefore estimated by using the sample standard deviation, which is defined by,

integer count = (integer)llListStatistics( LIST_STAT_NUM_COUNT, numList );
float sample_standard_deviation = llSqrt( llListStatistics( LIST_STAT_SUM_SQUARES , numList ) ) / (count - 1);

Another way to calculate the sample standard deviation is

12 collapsed lines
list numList = [1,1,1,2,1000,1000,1000];
integer count = llGetListLength( numList );
float sum = 0;
float mean = llListStatistics( LIST_STAT_MEAN, numList );
integer i = 0;
for (; i<count; ++i) {
float val = llList2Float( numList, i );
float diff = val - mean;
sum += ( diff * diff );
}
float sample_stdev = llSqrt( sum / (count - 1) );
float true_stdev = llSqrt( sum / count );
llOwnerSay((string)true_stdev);
llOwnerSay((string)sample_stdev);
llOwnerSay((string)llListStatistics( LIST_STAT_STD_DEV, numList ));
}
Original wiki source

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From the Second Life Wiki

Community documentation adapted from LIST STAT STD DEV, by Linden Research, Inc. and contributing residents.View contributors and history.

Imported wiki revision:

Licensed under CC BY-SA 3.0. Last wiki edit: .Formatting and links have been adapted for this site; API metadata follows the LSL definitions.