The mark of 38 corresponds to a z score of 3.85.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is raw score, μ is mean and σ is standard deviation.
Given that μ = 23, σ = 3.9, hence for a score x = 38:
z = (38 - 23) / 3.9 = 3.85
The mark of 38 corresponds to a z score of 3.85.
Find out more on Z score at: https://brainly.com/question/25638875