What percentage of scores are greater than 134?

Question

What percentage of scores are greater than 134?

Scores on a test are normally distributed with a mean of 102 and a standard deviation of 16.

Answer 1

134-102 = 32 = 2(16)

134 is 2 standard deviations above the mean.

By the empirical rule 95% of the scores fall within 2 standard deviations. The remaining 5% is split

half above 2 standard deviations and half below 2 standard deviations from the mean.

Half of 5% is 2.5%. 2.5% of the scores are greater than 134.