Question

scores on the gre (graduate record examination) are normally distributed with a mean of 583 and a standard deviation of 102. use the 68 - 95 - 99.7 rule to find the percentage of people taking the test who score between 481 and 685.
the percentage of people taking the test who score between 481 and 685 is %

Explanation:

Step1: Calculate the difference from the mean

For \(481\): \(583 - 481=102\), which is \(1\) standard deviation (\(\sigma = 102\)).
For \(685\): \(685 - 583 = 102\), which is \(1\) standard deviation.

Step2: Apply the 68 - 95 - 99.7 Rule

The 68 - 95 - 99.7 Rule states that for a normal distribution, approximately \(68\%\) of the data lies within \(1\) standard deviation (\(\mu\pm\sigma\)) of the mean.

Answer:

\(68\)