Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Given that mean of a normal variable X is 12 and standard deviation is 4, then find the Z-score of data point 20.

Options:

1

2

-2

4

Correct Answer:

2

Explanation:

The correct answer is Option (2) → 2

Given $μ = 12$ and $σ = 4$

$∵x = 20$

$∴ Z=\frac{x-μ}{σ}=\frac{20-12}{4}$

$=\frac{8}{4}= 2$