The standard deviation is calculated using the following formula (36): $\sigma =\sqrt{\frac{1}{N}{\displaystyle \sum _{i=1}^{N}{\left({x}_{i}-\mu \right)}^{2}}}$ where, ${x}_{i}$ is the mean; the average of the numbers, $\frac{1}{N}{\displaystyle \sum _{i=1}^{N}{\left({x}_{i}-\mu \right)}^{2}}$ is the variance.
The standard deviation for standard enthalpy of formation for 1-fluroethanol is calculated to be ± 0.1. The calculation of standard deviation for this molecule is as follows: N = 2, Step 1, Step 2, ( µ_{1}) = (−101.73 + 101.60)^{2} = 0.0169 ( µ_{2}) = (−101.73 + 101.86)^{2} = 0.0169 Step 3, 1/2 (0.0169 + 0.0169) = 0.0169 Step 4, square root of 0.0169 = 0.13 = ±0.1 |