Q. 6.5 - Elementary Statistics

Question

Why is the standard normal curve sometimes referred to as the $z$-curve?

Step-by-Step Solution

Answer

The standard normal curve sometimes referred to as the $z$-curve. This is because,

• While drawing this standard normal curve, we label the horizontal axis as $z$.
• Also refer to numbers on that axis as $z$-scores.

Step 1 . Given information

We need to explain why the standard normal curve sometimes referred to as the $z$-curve.

Step 2 . Explanation for the answer:

The standard normal curve sometimes referred to as the $z$-curve. This is because:

• The standard normal curve  is the associated normal curve which is for a standardized normally distributed variable.
• While drawing that curve, we label the horizontal axis with a letter $z$.
• Also, we refer the numbers on that axis as $z$-scores.

Step 3 . The model pictorial representation of the standard normal curve: