Question

Use the empirical rule to approximate the percentage of people who take the SAT that will have a mathematics SAT score between 163 and 631.

a) 68%
b) 95%
c) 99.7%
d) 50%

Answer 1

To approximate the percentage of people who take the SAT and have a math SAT score between 163 and 631, we can use the empirical rule. Using the empirical rule, we can conclude that the percentage of people with a math SAT score between 163 and 631 is approximately 95%.

Step-by-step explanation:

The distribution of math SAT scores follows a normal distribution with a mean of 520 and a standard deviation of 115. To approximate the percentage of people who take the SAT and have a math SAT score between 163 and 631, we can use the empirical rule.

The empirical rule states that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Since 163 is more than two standard deviations below the mean and 631 is more than four standard deviations above the mean, we can conclude that the percentage of people with a math SAT score between 163 and 631 is approximately 95%.