Find the z-score for the given raw score, mean, and standard deviation. Assume a normal probability distribution for raw score = Raw score = 66, µ =60 , and ó =6
Z-score = [Raw - Mean]/(sigma) = 6/6 = +1
Your "ó" is presumably the standard deviation, sigma.
To find the z-score, we need to use the formula:
z = (X - µ) / σ
where:
X is the raw score,
µ is the mean (average),
σ is the standard deviation.
Given values:
Raw score (X) = 66
Mean (µ) = 60
Standard deviation (σ) = 6
Plugging these values into the formula:
z = (66 - 60) / 6
z = 6 / 6
z = 1
Therefore, the z-score for the given raw score, mean, and standard deviation is 1.