Consider three finite sets given as S1={2,5,8,11,…up to 100 terms} S2={1,10,19,28,…up to 100 terms} S3={4,10,16,22,…up to 100 terms} If σ21,σ22 and σ23 are the variance of S1,S2 and S3 respectively, then the value of σ21+σ22−σ23σ21 is

Consider three finite sets given as S1={2,5,8,11,…up to 100 terms} S

1.	Consider three finite sets given as S1={2,5,8,11,…up to 100 terms} S2={1,10,19,28,…up to 100 terms} S3={4,10,16,22,…up to 100 terms} If σ21,σ22 and σ23 are the variance of S1,S2 and S3 respectively, then the value of σ21+σ22−σ23σ21 is
Answer» Consider three finite sets given as $S_{1} = {2, 5, 8, 11, \dots up to 100 terms}$ $S_{2} = {1, 10, 19, 28, \dots up to 100 terms}$ $S_{3} = {4, 10, 16, 22, \dots up to 100 terms}$ If $σ_{1}^{2}, σ_{2}^{2}$ and $σ_{3}^{2}$ are the variance of $S_{1}, S_{2}$ and $S_{3}$ respectively, then the value of $\frac{σ_{1}^{2} + σ_{2}^{2} - σ_{3}^{2}}{σ_{1}^{2}}$ is