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}=\frac{(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.