Question

Suppose you have a normally distributed set of data pertaining to a standardized test. The mean score is 500 and the standard deviation is 100. What is the z-score of 225 point score?

Answer 1

`z=(225-500)/(100)=-2.75`

Answer 2

Answer: -2.75

Explanation:

Given : We have a normally distributed set of data pertaining to a standardized test.

The mean score is
`\mu=500`

Standard deviation:
`\sigma=100`

Let x be a random variable to represent the data values .

The formula for z-score :-

`z=(x-\mu)/(\sigma)`

For x=225, we have

`\Rightarrow\ z=(225-500)/(100)=-2.75`

Hence, the z-score of 225 point score =-2.75