1.
Let a1,a2,,a10a_1, a_2, \ldots, a_{10} be 1010 observations such that k=110ak=50\sum_{k=1}^{10} a_k = 50 and 1k<j10akaj=1100\sum_{1 \le k < j \le 10} a_k a_j = 1100. Then the standard deviation of a1,a2,,a10a_1, a_2, \ldots, a_{10} is equal to