For a normal distribution with mean 4 and standard deviation 4, the value 8 has a z value of
A) -1
B) 1
C) 2
D) 3

Question

Quizplus · Accepted Answer

The formula for calculating the z-score is:
z = (x - mean) / standard deviation

In this case, we want to find the z-score for x = 8, mean = 4 and standard deviation = 4. Substituting these values in the formula, we get:
z = (8 - 4) / 4
z = 1

Therefore, the z-value for x = 8 is 1. Since the z-score measures the number of standard deviations a value is from the mean, we can say that the value 8 is one standard deviation above the mean. So, the answer is choice B.

For a Normal Distribution with Mean 4 and Standard Deviation