What z-score corresponds to a raw score of 68.7 when mean=60 and sd=4.3

Z = (score-mean)/SD

Insert values and solve for Z.

To find the z-score that corresponds to a raw score of 68.7, you can use the formula:

z = (X - μ) / σ

Where:
z is the z-score.
X is the raw score.
μ is the mean.
σ is the standard deviation.

In this case, X = 68.7, μ = 60, and σ = 4.3.

Substituting these values into the formula:

z = (68.7 - 60) / 4.3

Calculating this expression:

z = 8.7 / 4.3

z ≈ 2.023

Therefore, the z-score that corresponds to a raw score of 68.7, with a mean of 60 and a standard deviation of 4.3, is approximately 2.023.