For a population with a standard deviation of σ = 6,what is the z-score corresponding to a score that is 12 points above the mean?
A)z = 1
B)z = 2
C)z = 6
D)z = 12

Question

For a population with a standard deviation of σ = 6,what is the z-score corresponding to a score that is 12 points above the mean?​
A)​z = 1
B)​z = 2
C)​z = 6
D)​z = 12

Quizplus · Accepted Answer

To find the z-score, we use the formula: z = (X - μ) / σ
Given: σ = 6, X = mean + 12 = μ + 12
z = (μ + 12 - μ) / 6 = 2
Therefore, the z-score corresponding to a score that is 12 points above the mean is z = 2. Hence, choice B is the correct answer.

For a Population with a Standard Deviation of σ =