Question

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?

Answer 1

7

Explanation:

took the test,

2.5 * 1.2 = 3

3 + 4 = 7.

so he ran 7 miles.

Answer 2

He ran 1.25 miles.

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 (
`(2.5-4)/(1.2)`)

= 1.25

Hence,

He ran 1.25 miles.