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Statistics 
Numerical Measures of Variability

  

Note:  Some symbols are expressed in words (i.e. sigma and square root are written out).

Name Symbol Population or Sample? Formula
Range R Both R = largest # - Smallest #
Interquartile Range none Both IQR = Q3 - Q1
Mean Absolute Deviation MAD Both MAD = [the sum of |xi - x| ] / n
n being the number of values
Sample Variance S2 Sample S2 = the [sum of (xi - x)2 ] / n -1
Sample Standard Deviation +square root symbol S2 Sample + sq. rt. S2
sq rt [{sum of (xi - x)2}/ n-1]
Population Variance sigma2 Population Sigma2 = the [sum of (xi - µ)2 ] / N
Population Standard Deviation + sq. rt symbol sigma2 Population + sq. rt. sigma2 = sq. rt. [{sum of (xi - µ)2}/ N]
Coefficient of Variation CV Sample cv = (Sample Standard Deviation / x) * 100%
Population Coefficient of Variation None Population popcv = sigma/µ * 100%
 
 

 

 

 
 
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