First, calculate the new sums:

\(\Sigma x = 1923 + 166 + 172 + 182 = 2443\)

\(\Sigma x^2 = 337221 + 166^2 + 172^2 + 182^2 = 427485\)

Calculate the mean:

\(\text{Mean} = \frac{\Sigma x}{14} = \frac{2443}{14} = 174.5\)

Calculate the variance:

\(\text{Variance} = \frac{\Sigma x^2}{14} - \left(\frac{\Sigma x}{14}\right)^2 = \frac{427485}{14} - \left(\frac{2443}{14}\right)^2\)

\(= 30534.64 - 30480.25 = 54.39\)

Calculate the standard deviation:

\(\text{Standard deviation} = \sqrt{54.39} = 9.19\)