where 0<x1<x2<x3<⋯<x15=10 and i=1∑15fi>0, the standard deviation cannot be:
Solutions · 1
Official solution
If a variate varies from a to b, then Var(x)≤(2b−a)2.
\[\text{Var}(x) < \left(\frac{10-0}{2}\right)^2 = 25 \implies \text{S.D.} < 5\]
So the standard deviation cannot be 6.