June 2020 p52 q1
2540
For n values of the variable x, it is given that
\(\Sigma (x - 50) = 144\) and \(\Sigma x = 944\).
Find the value of n.
Solution
We start with the equation \(\Sigma (x - 50) = 144\).
This can be expanded to \(\Sigma x - 50n = 144\).
We are also given \(\Sigma x = 944\).
Substitute \(\Sigma x = 944\) into the expanded equation:
\(944 - 50n = 144\).
Rearrange to solve for \(n\):
\(944 - 144 = 50n\)
\(800 = 50n\)
\(n = \frac{800}{50}\)
\(n = 16\)
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