For n values of the variable x, it is given that \(\Sigma (x - 100) = 216\) and \(\Sigma x = 2416\). Find the value of n.
Solution
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 \(n\):
\(2416 - 216 = 100n\)
\(2200 = 100n\)
\(n = \frac{2200}{100} = 22\).
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