89.7k views
1 vote
suppose the average gmat score of one university is 600 and such scores has a standard deviation of 100. what percentage of students has gmat scores between 400 and 800?

1 Answer

5 votes

Final answer:

To find the percentage of students with GMAT scores between 400 and 800, we calculate the z-scores for both scores and find the area under the normal distribution curve between those z-scores. The percentage is approximately 95.45%.

Step-by-step explanation:

To find the percentage of students with GMAT scores between 400 and 800, we need to calculate the z-scores for both scores and then find the area under the normal distribution curve between those z-scores.

The formula for calculating the z-score is (x - μ) / σ, where x is the individual score, μ is the mean, and σ is the standard deviation.

For a score of 400, the z-score is (400 - 600) / 100 = -2.00. For a score of 800, the z-score is (800 - 600) / 100 = 2.00. Looking up these z-scores in a standard normal distribution table, we find that the area between -2.00 and 2.00 is approximately 0.9545.

Therefore, approximately 95.45% of students have GMAT scores between 400 and 800.

User Sumit Agrawal
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.