We start with the equation \(\Sigma (x - 100) = 216\).

This can be expanded to \(\Sigma x - 100n = 216\).

We are given \(\Sigma x = 2416\), so substitute this into the equation:

\(2416 - 100n = 216\).

Rearrange to solve for \(n\):

\(2416 - 216 = 100n\)

\(2200 = 100n\)

\(n = \frac{2200}{100} = 22\).