Given that mean of a normal variable X is 12 and standard deviation is 4, then find the data point if its Z-score is 5.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 32
Given $μ = 12$ and $σ = 4$
$∵Z = 5$
$∴ 5=\frac{x-μ}{σ}=\frac{x-12}{4}⇒x-12=20$
$⇒x=32$