Consider a set of data in which the sample mean is 33.7
and the sample standard deviation is 7.2
. Calculate the z-score given that x=30.2
. Round your answer to two decimal places.
To calculate the z-score, we use the formula:
z = (x - μ) / σ
where:
x = score of interest (30.2)
μ = sample mean (33.7)
σ = sample standard deviation (7.2)
Plugging in the values:
z = (30.2 - 33.7) / 7.2
z = -3.5 / 7.2
z = -0.49
Therefore, the z-score for x = 30.2 is -0.49.toFixed(2).