a distribution has a mean of 5 and a standard deviation of 2, what is the z score of 8 ?
Z = (score-mean)/SD
Insert values and solve for Z.
Z=3\2=1.5
To find the z-score, we need to use the formula:
z = (x - μ) / σ
where:
- z is the z-score
- x is the value from the distribution (in this case, 8)
- μ is the mean of the distribution (in this case, 5)
- σ is the standard deviation of the distribution (in this case, 2)
Plugging in the values into the formula:
z = (8 - 5) / 2
z = 3 / 2
z = 1.5
Therefore, the z-score of 8 in this distribution is 1.5.