Given the following information about a sample, calculate a z score for a test grade of 91.
= 87, s = 4.01 (Points
1.00
To calculate the z score, we will use the formula:
z = (x - μ) / σ
where:
x is the value of the test grade (91 in this case),
μ is the mean of the distribution (87 in this case),
σ is the standard deviation (4.01 in this case).
Putting the values into the formula, we have:
z = (91 - 87) / 4.01
z = 4 / 4.01
Calculating the division gives us:
z ≈ 0.9975
Therefore, the z score for a test grade of 91 in this sample is approximately 0.9975.