Question

Students all over the United States recently took the National Science Foundation test on Biology. The mean score for girls was 150, with a standard deviation of 30. What is the approximate percentile rank for a student with a score of 180

Answer 1

Answer:

$z=\frac{180-150}{30}= 1$

And if we find the probability using the normal standard distribution we got:

$P(z$

And the the percentile would be approximately 84.1

Step-by-step explanation:

For this case we define the random variable of interest as "Score for girls" and we know the following parameters:

$\mu =150, \sigma =30$

And we want to find the percentile for the score 180 and we can use the z score formula given by:

$z=\frac{X -\mu}{\sigma}$

And replacing we got:

$z=\frac{180-150}{30}= 1$

And if we find the probability using the normal standard distribution we got:

$P(z$

And the the percentile would be approximately 84.1