Question

A normally distributed data set has u = 22 and 0 = 1.5. What would be the value of an element of his data setwith a Z-score = 2?

Answer 1

Ok, we have to find the value according with the following:

z-score=2

Standard desviation (σ)= 1.5

mean (μ)=22

Now, we need clear the value (x) in the following equation:

`z-\text{score}=((x-\mu))/(\sigma)`
`(z-\text{score }\cdot\sigma)=x-\mu`
`(z-score\cdot\sigma)+\mu=x`

Now, replacing the values, we have:

`x=(2\cdot1.5)+22=3+22=25`

So, finally we got that the value of the element is: 25.