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Four numbers from the whole numbers $0$to $10$have to be chosen. The contest is for standard deviation.

Statistical Measures are a descriptive analytical technique that provides an overview of a data set's properties.

Numbers: $0,1,2,3,4,5,6,7,8,9,10$

If all four values are the same, for example, $1,1,1,1,$ the standard deviation will be $0$ because the mean of these four integers is $1$ and every deviation from the mean is $0$, therefore the standard deviation will be $4$So, the smallest possible standard deviation is $0$

Numbers: $0,1,2,3,4,5,6,7,8,9,10$

If all four numbers are added together, we get the maximum possible standard deviation. Consider the following example:$01,9$ and $10$ Because the mean of these four integers is $5$, and all four numbers are distant from the mean, as may be determined manually. As a result, the maximum standard deviation is $5$

Numbers: $0,1,2,3,4,5,6,7,8,9,10$

It is conceivable to make more than one option, i.e., to take all of the same observations as $2,2,2,2$or $3,3,3,3$or $4,4,4,4$

The above-mentioned instance is merely one option for the biggest standard deviation, while the other four possibilities all have significantly lower standard deviations. Thus, It is possible that more than $1$ choice.