Answer :

No, it is not possible to obtain a negative value for ss (sum of squared deviations), variance, and standard deviation

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection. The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Hence,  it is not possible to obtain a negative value for ss (sum of squared deviations), variance, and standard deviation

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