find the z-score corresponding to a score of X=60 for the each of the following distributions.
u=50 and 0=10
u=50 and 0=5
Z = (X-mean)/standard deviation
Plug in the values and calculate.
Plug in the values as advised
(60-50)/10=1
(60-50)/5=2
To find the z-score corresponding to a score of X = 60 for each of the given distributions, we need to use the formula for calculating the z-score:
z = (X - μ) / σ
where X is the given score, μ is the mean of the distribution, and σ is the standard deviation.
For the first distribution, where μ = 50 and σ = 10:
z = (60 - 50) / 10
z = 10 / 10
z = 1
Therefore, the z-score corresponding to a score of X = 60 in this distribution is 1.
For the second distribution, where μ = 50 and σ = 5:
z = (60 - 50) / 5
z = 10 / 5
z = 2
Therefore, the z-score corresponding to a score of X = 60 in this distribution is 2.
In summary:
- For the distribution with u = 50 and o = 10, the z-score is 1.
- For the distribution with u = 50 and o = 5, the z-score is 2.