Suppose X~N(11,4)
What is the z score of x=23
To find the z-score of x = 23, we need to calculate:
z = (x - μ) / σ
where:
x = 23 (the value we want to find the z-score for)
μ = 11 (the mean of the distribution)
σ = 4 (the standard deviation of the distribution)
Substituting the given values:
z = (23 - 11) / 4
z = 12 / 4
z = 3
Therefore, the z-score of x = 23 is 3.