Question

When Corey goes bowling, his scores are normally distributed with a mean of 100 and a standard deviation of 10. Using the empirical rule, what percentage of the games that Corey bowls does he score between 90 and 110?

Answer 1

According to the empirical rule, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

In this case, Corey's scores are normally distributed with a mean of 100 and a standard deviation of 10.

So, he will score between 90 and 110 in the percentage of games that fall within one standard deviation of the mean, which is approximately 68%.

Therefore, Corey scores between 90 and 110 in about 68% of the games he bowls.