Let a_1,a_2, a_10 be 10 observations such that _k=1^10a_k=50 and _

Question

Let ${a}_{1},{a}_{2},\ldots {a}_{10}$ be 10 observations such that $\sum _{k=1}^{10}{a}_{k}=50$ and $\sum _{\forallk<j}{a}_{k}\cdot {a}_{j}=1100$. Then the standard deviation of ${a}_{1},{a}_{2},\ldots ,{a}_{10}$ is equal to :

Accepted Answer

$ \& \sum _{k=1}^{10}{a}_{k}=50  \  \& {a}_{1}+{a}_{2}+\ldots +{a}_{10}=50\,  \  \& \sum _\forallk$

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