z = -2.83
Explanation:
Given:
Mean, μ = 68
Standard deviation, σ = 6
Data point, x = 51
Z score, z = ?
We know:
[tex]z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}[/tex]
Substituting the value we get:
[tex]z = \frac{51-68}{6} \\\\z = -2.83[/tex]
A negative z score says that the data point is below average.
