Find the z-score for the given raw score, mean, and standard deviation. Assume a normal probability distribution.
Raw score = 124, μ = 98, and o = 17
A) 0.65 B) -1.53 C) -0.65 D) 1.53
Z = (raw score - mean)/standard deviation
You can do the calculations.
To find the z-score, we will use the formula:
z = (X - μ) / σ
Where:
X is the raw score
μ is the mean
σ is the standard deviation
In this case:
X = 124
μ = 98
σ = 17
Plugging in these values into the formula:
z = (124 - 98) / 17
z = 26 / 17
z ≈ 1.53
Therefore, the z-score for the given raw score is approximately 1.53.
So, the correct answer is D) 1.53.