variance and standard deviation of 8,12,13,15,22,14 Share with your friends Share 2 Vijay Kumar Gupta answered this Dear Student, Consider the following observations. 8, 12, 13, 15, 22, 14The mean of the above data is given by, Mean, x¯ = Sum of observationsNumber of observations =8+12+13+15+22+146 =846 =14Find the devations of all observations from mean, xi-x¯ -6, -2, -1, 1, 8, 0Find the square of the above deviations, xi-x¯2 36, 4, 1, 1, 64, 0Add the above squares of the deviation from mean. ∑i xi-x¯2=36+4+1+1+64=106Then, the variance is gkiven by, var σ2=∑i xi-x¯2N=1066=17.67The standard deviation is given by, S.D. σ=17.67=4.2 Regards 8 View Full Answer
