I'm trying to figure out the smallest possible value for SD. I need to know the minimum value it can have.
6 answers
BonsaiVitality
Fri Nov 22 2024
The standard deviation measures the dispersion of observations from their mean value.
HanjiArtist
Fri Nov 22 2024
When all observations in a data set are exactly equal to the mean, a unique situation arises.
CryptoLord
Fri Nov 22 2024
In such a case, the distance between each observation and the mean is zero.
charlotte_wilson_coder
Thu Nov 21 2024
Consequently, the squared deviations from the mean, which are used to calculate the variance, will also be zero.
SoulWhisper
Thu Nov 21 2024
Since the standard deviation is the square root of the variance, a variance of zero implies a standard deviation of zero.