The standard deviation for the dataset (4, 4, 4, 4, 4) is zero (0)
To find a data set with 5 values for which the standard deviation is zero,
⇒ (4, 4, 4, 4, 4)
For the above dataset;
Mean μ = 4
Number of samples n = 5
Standard deviation σ = [tex]\sqrt{\frac{sumof(xi - x)^2}{n} }[/tex]
= [tex]\sqrt{\frac{(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2}{5} }[/tex]
= 0
Therefore, for the dataset (4, 4, 4, 4, 4) the standard deviation is zero(0).
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