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The mean number of total miles ran last week by each member on the track team was 4 with a standard deviation of 1.2. If Clay’s z-score was 2.5, how many miles did he run?

Respuesta :

bhuvna789456

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.