Question

On a standardized exam, the scores are normally distributed with a mean of 40 and a standard deviation of 5. Find the z-score of a person who scored 25 on the exam.

Answer 1

The correct solution is "3".

Explanation:

Given that:

Mean of distribution,

`x = 49`

Standard deviation,

`\sigma=5`

Score,

`\mu=25`

Let the score in an exam be "x".

Now,

The z-score will be:

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

On putting the values, we get

=
`(40-25)/(5)`

=
`(15)/(5)`

=
`3`