Question

the average score on a standardized test is 500 points with a standard deviation of 50 points. if 2000 students take the test at a local school, how many students do you expect to score between 500 and 600 points

Answer 1

Answer:

954 students.      

Step-by-step explanation:

We have been given that the average score on a standardized test is 500 points with a standard deviation of 50 points.

To find the number of students that will score between 500 and 600 we will find z-score of 500 and 600.

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

$z=\frac{500-\500}{50}$

$z=\frac{0}{50}=0$

Now let us find z-score for 600.

$z=\frac{600-\500}{50}$

$z=\frac{100}{50}=2$      

From normal distribution table we will get,

$P(0=P(z$

$P(0=0.9772-\frac{1}{2}$          

$P(0=0.9772-0.5$                              

$P(0=0.4772$          

Let us find the number of students that will score between 500 and 600 by multiplying 0.4772 by 2000.

$\text{The number of students that will score between 500 and 600}=0.4772*2000$

$\text{The number of students that will score between 500 and 600}=954.4\approx 954$

Therefore, 954 students out of 2000 students will score between 500 and 600 points.

Answer 2

Answer:

954

Step-by-step explanation:

no need