Your sense of direction puts you at the 79th percentile,relative to a raw score distribution with a mean of 3.5 and a standard deviation of 1.What is your z-score?
A)+0.13
B)+0.50
C)+0.81
D)-0.81

Question

Quizplus · Accepted Answer

To find the z-score, we need to use the formula:
z = (raw score - mean) / standard deviation
Given that the raw score is at the 79th percentile, we know that 79% of the scores are below this score. Therefore, the area to the left of the score on the normal distribution is 0.79. Using a standard normal distribution table, we can find the z-score corresponding to this area as approximately 0.81.
z = (x - 3.5) / 1, where x is the raw score
0.81 = (x - 3.5) / 1
x - 3.5 = 0.81
x = 4.31
Therefore, the z-score is (4.31 - 3.5) / 1 = 0.81.

Your Sense of Direction Puts You at the 79th Percentile,relative