Step 1 :Given that the mean score is 1483 and the standard deviation is 318, we need to find the z-score for the score 1900.
Step 2 :The z-score is a measure of how many standard deviations an element is from the mean. To find the z-score of a value, we subtract the mean from the value and then divide by the standard deviation.
Step 3 :Using the formula for z-score, \(z = \frac{x - \mu}{\sigma}\), where \(x\) is the value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation, we substitute the given values into the formula.
Step 4 :So, \(z = \frac{1900 - 1483}{318} = 1.3113207547169812\).
Step 5 :Rounding to two decimal places, we get \(z = 1.31\).
Step 6 :Final Answer: The z-score for 1900 is \(\boxed{1.31}\).