He ran 1.25 miles.
Step-by-step explanation:
Given,
Clay’s z-score (x) = 2.5
Mean (μ) = 4
Standard deviation (σ) = 1.2
To find the distance he ran.
Formula
By Z score formula
Z = mod of ((x-μ)÷σ) [ mod of means the positive value]
Now,
Putting the values of x,μ,σ we get,
Z = mod of ( [tex]\frac{2.5-4}{1.2}[/tex])
= 1.25
Hence,
He ran 1.25 miles.
