John's z-score on a college entrace exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is his raw score?
Use a z-score formula to find John's raw score.
The formula: z = (x - mean)/sd -->sd = standard deviation
Using what you know to find what you don't know:
1.3 = (x - 480)/70
Solve for x.
I hope this will help.
To find John's raw score, we can use the formula for z-scores:
z = (x - mean) / standard deviation
In this case, we know that John's z-score is 1.3, the mean is 480, and the standard deviation is 70. We want to find John's raw score, denoted as x.
Rearranging the formula, we get:
1.3 = (x - 480) / 70
To solve for x, we can multiply both sides of the equation by 70:
1.3 * 70 = x - 480
91 = x - 480
To isolate x, we can add 480 to both sides of the equation:
91 + 480 = x
571 = x
So, John's raw score on the college entrance exam is 571.