Step 1 :The problem provides us with the mean test score (\(\mu\)) of 1483, the standard deviation (\(\sigma\)) of 318, and a specific test score (\(X\)) of 1200. We are asked to find the z-score for this test score.
Step 2 :The z-score is a measure of how many standard deviations an element is from the mean. It is calculated using the formula: \(Z = \frac{X - \mu}{\sigma}\)
Step 3 :Substituting the given values into the formula, we get: \(Z = \frac{1200 - 1483}{318}\)
Step 4 :Solving the above expression, we find that the z-score for the test score of 1200 is approximately -0.89
Step 5 :Final Answer: The z-score for 1200 is \(\boxed{-0.89}\)