Encabezado
 
 
Tablas estadísticas Medidas estadísticas Variable Bidimensional Probabilidad Variable Aleatoria Inferencia estadística Gráficas Gestión de alumnos
 
Statistics

Central Tendency Measures
Geometric Mean
Measures of Location
Measures of Position
Medidas de Forma

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STANDARD DEVIATION IS INDEPENDENT OF CHANGE OF ORIGIN

Suppose there are two samples x1,...,xn and y1,...,yn where yi=xi+c, i=1,2,...,n and c>0. If the respective sample variances of the two samples are denoted by and then

Proof:



That is

STANDARD DEVIATION IS AFFECTED BY CHANGE OF SCALE

Suppose there are two samples x1,...,xn and y1,...,yn where yi=cxi, i=1,2,...,n and c>0. If the respective sample variances of the two samples are denoted by and then

Proof:

That is