The age of a group of persons follows normal distribution with mean 45

1.	The age of a group of persons follows normal distribution with mean 45 years and standard deviation 10 years. Calculate Z-score for a randomly selected person having age 60 years.
Answer» Here, µ = 45; σ = 10, x – 60 ∴ Z = \(\frac{x−μ}{σ} = \frac{60−45}{10}\) = 1.5 Hence, Z-score = 1.5

The age of a group of persons follows normal distribution with mean 45 years and standard deviation 10 years. Calculate Z-score for a randomly selected person having age 60 years.

Answer»

Here, µ = 45; σ = 10, x – 60

∴ Z = \(\frac{x−μ}{σ} = \frac{60−45}{10}\) = 1.5

Hence, Z-score = 1.5