LSS: Standard Deviation Exercise labeled s for sample, (Sigma) for population – σ Case 1 Variable Deviation Squared Obs Value from Mean Deviation 1 5 2 6 3 7 Sum of 4 8 Squared 5 9 (SSD) Sum = Mean Mean = Squared Deviation (MSD = SSD/n-1)) Standard Deviation = Square Root of MSD = Case 2 Variable Deviation Squared Obs from Mean Deviation 1 5 2 8 3 11 Sum of 4 14 Squared 5 17 (SSD) Sum = Mean Mean = Squared Deviation (MSD = SSD/n-1) Standard Deviation = Square Root of MSD = What do the two standard deviation values tell us about the respective datasets?
LSS: Standard Deviation Exercise – labeled s for sample, σ (Sigma) for population Case 1 Variable Deviation Squared Obs Value from Mean Deviation 1 5 2 6 3 7 4 8 Sum of Squared 5 9 (SSD) Sum = Mean = Mean Squared Deviation (MSD = SSD/n-1)) Standard Deviation = Square Root of MSD = Case 2 Variable Deviation Squared Obs from Mean Deviation 1 5 2 8 3 11 4 14 Sum of Squared 5 17 (SSD) Sum = Mean = Mean Squared Deviation (MSD = SSD/n-1) Standard Deviation = Square Root of MSD = What do the two standard deviation values tell us about the respective datasets?