SOLUTION: A data set has a mean of 𝑥̅= 6.8 and a standard deviation of 1.9. Find the z-score for each of
the following.
a. 𝑥 = 6.2 b. 𝑥 = 9.0 c. 𝑥 = 7.2 d. 𝑥 = 5.0
To find z-score, use the same formula for all four cases
Z =
where
Z = standard score
x = observed value
mu = mean of the sample
sigma = standard deviation of the sample
Use this formula separately for each case.