HSS.ID.A.4 math practice. Learn by doing.

For a normal distribution, approximately what percent of data lies within 2 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

For a normal distribution, approximately what percent of data lies within 3 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

A normal distribution has mean $100$ and standard deviation $15$. What value is 1 standard deviation above the mean?

A normal distribution has mean $50$ and standard deviation $5$. What value is 2 standard deviation below the mean?

A normal distribution has mean $200$ and standard deviation $20$. What value is 1 standard deviation below the mean?

In a normal distribution, what percent of the data lies above the mean? (Enter percent.)

Quiz scores are approximately normally distributed with mean $80$ and standard deviation $4$. By the empirical rule, about what percent of scores are between $72$ and $88$? (Enter the number of percent.)

For a normal distribution, approximately what percent of data lies more than 2 standard deviations from the mean (counting both tails)? (Use the empirical rule; enter the number of percent.)