College

Calculate the standard score of the given X value, where [tex]X = 97.4[/tex], [tex]\mu = 90.1[/tex], and [tex]\sigma = 90[/tex].

Round your answer to two decimal places.

Answer :

Final answer:

The standard score (z-score) measures how many standard deviations a given value is from the mean.


Explanation:

The standard score, also known as the z-score, measures how many standard deviations a given value is from the mean. To calculate the standard score for x = 97.4, you can use the formula:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation.

In this case, the mean (μ) is 90.1. To find the standard score, plug in the values:

z = (97.4 - 90.1) / σ

To calculate the standard score, you need to know the standard deviation (σ) of the data set. However, it is not provided in the question, so it is impossible to determine the exact standard score without that information.


Learn more about Calculating the standard score here:

https://brainly.com/question/34146268