For n values of the variable x, it is given that
\(\Sigma(x - 200) = 446\) and \(\Sigma x = 6846\).
Find the value of n.
Solution
We start with the given equations:
\(\Sigma(x - 200) = 446\)
\(\Sigma x = 6846\)
We can express \(\Sigma(x - 200)\) as:
\(\Sigma x - \Sigma 200 = 446\)
Since \(\Sigma 200 = 200n\), we substitute:
\(\Sigma x - 200n = 446\)
Substitute \(\Sigma x = 6846\) into the equation:
\(6846 - 200n = 446\)
Solve for \(n\):
\(6846 - 446 = 200n\)
\(6400 = 200n\)
\(n = \frac{6400}{200}\)
\(n = 32\)
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