Question

The average height of adult females is 64.4 inches, with a standard deviation of 2.3 inches and a normal distribution. Rayna is 67.1 inches tall. What is the standardized score for Rayna's height?

Answer 1

The standardized score for Rayna's height is 1.1739.

Step-by-step explanation:

To find the standardized score (also known as the z-score) for Rayna's height of 67.1 inches, we can use the formula:

z = (x - μ) / σ

where x is the raw score (in this case, Rayna's height), μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Substituting the values given in the question, we get:

z = (67.1 - 64.4) / 2.3

z = 1.1739

Therefore, the standardized score for Rayna's height is 1.1739.

Let me know if you need anymore help understanding the question!