the average SAT score at a local university is (=60, and standard is (x=50. Assume that the university SAT score has a normal distribution convert a student score x=700 into z score
Assistance needed.
Again, proofread before posting.
Z = (score-mean)/SD
Z = (700-60)/50 = 640/50 = 12.8
To convert a student's SAT score into a z-score, follow these steps:
Step 1: Calculate the mean (μ) and standard deviation (σ) of the SAT scores.
Given:
Mean (μ) = 600
Standard Deviation (σ) = 50
Step 2: Subtract the mean from the student's score (x) and divide the result by the standard deviation.
Formula: z = (x - μ) / σ
Given:
Student's score (x) = 700
Applying the formula:
z = (700 - 600) / 50
z = 100 / 50
z = 2
Therefore, the z-score for a student with an SAT score of 700 is 2.