Question

Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15. Assuming a normal distribution, what percentage of scores should fall between your score and the mean?

Answer 1

Answer:

34% of scores should fall between your score and the mean.

Step-by-step explanation:

Let X denote the score.

It is provided that X follows a normal distribution with mean 110 and standard deviation 15.

A students score, x = 95.

Compute the probability of scores that should fall between the student's score and the mean as follows:

$P(95$

                            $=P(-1$

Thus, 34% of scores should fall between your score and the mean.