Percentages to Raw Data for Normal Distributions

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%

• 34%

• 16%

• 2.5%

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

This data is normally distributed. What percent of the data is in the shaded region?

• 68%

• 95%

• 99.8%

• 50%

This data is normally distributed. What percent of the data is in the shaded region?

• 68%

• 95%

• 99.8%

• 50%

What percent of the data is between 68 and 86 on the normal curve?

SAT scores in New York are approximately Normally distributed with a mean of 1050 and a standard deviation of 55. About 2.5% of all test scores are less than what score?

• 940

• 1050

• 885

• 995

What percent of the data is between 80 and 92 on the normal curve?

This data is normally distributed. What percent of the data is in the shaded region?

• 68%

• 95%

• 99.8%

• 50%

This data is normally distributed. What percent of the data is in the shaded region?

• 68%

• 32%

• 16%

• 50%

This data is normally distributed. What percent of the data is in the shaded regions?

• 5%

• 95%

• 2.5%

• 50%