Question

A score that is a quarter of a standard deviation below the mean has a z-score of z= [Please provide the value for z or any specific question related to z-scores.]

Answer 1

The z-score for a score that is a quarter of a standard deviation below the mean is -0.25.

Step-by-step explanation:

A z-score is a standardized value that indicates how many standard deviations a data point is above or below the mean in a normal distribution. To find the z-score for a score that is a quarter of a standard deviation below the mean, we use the formula:

z = (x - μ) / σ

Given that the score is a quarter of a standard deviation below the mean, we can substitute the values:

z = (x - μ) / σ = (-0.25σ - μ) / σ = -0.25

Therefore, the z-score is -0.25.