The normal distribution is called as standard normal distribution when

The correct answer is Option (3) → Mean (μ) = 0 and standard deviation (σ) = 1 for a data set

A normal variable X with mean μ and standard deviation σ is converted to the standard normal variable by

    \( \displaystyle Z=\frac{X-\mu}{\sigma} \)

Z has mean 0 and standard deviation 1. So a normal distribution is called the standard normal distribution when μ = 0 and σ = 1.

CBSE Applied Mathematics (Class XII):
Probability Distribution