La desviación estándar es la raíz cuadrada positiva de la varianza.
Si los datos conforman una población, la varianza se representa como 2; y si los datos conforman una muestra, la media se representa como S2 o como .
Por ejemplo, si se tienen los datos: 5, 8, 2, 5 y 3, el promedio es 4.6 (suma -que es 23- dividido 5). Cada dato es un ; por lo tanto, el cálculo de la desviación estándar es:
Por lo tanto, la varianza muestral es 5.3. Si fuera una población (lo cual se detecta según la información), se dividiría por 5.
La desviación estándar es , o sea 2,302.
Esto corresponde al cálculo manual, pero sería muy extenso si se tienen muchos datos (que es lo usual). En este caso, se debe calcular con las funciones estadísticas de la calculadora (explicado en el anexo 1 de Notas de Estadística) o con Excel (explicado en el anexo 2)
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