Advanced Placement (AP), 12.04.2021 23:00, AutumnGarringer
A study of statistical data reveals that when a normal distribution occurs, 68% of the population will have a value within one standard deviation of the mean, and 95% of the population will have a value within two standard deviations of the mean.
←68%→
←←←←95%→→→→
‐2 sd ‐1 sd mean +1 sd +2 sd
This information can be used to analyze data when original values are unknown.
Given that the scores on a test are normally distributed, that the mean score is 80 and the standard deviation is 7,
1. What percent scored less than 87?
2. What percent scored less than 73?
3. What percent scored more than 94?
4. 2.5% scored less than what value?
Given the times required for a group of students to complete the physical fitness obstacle course result in a normal curve, and that the mean time 21 minutes and the standard deviation is 4,
5. What percent took longer than 29 minutes?
6. What percent took less than 29 minutes?
7. What percent took between 13 and 29 minutes?
8. What percent took between 13 and 25 minutes?
9. What percent took longer than 17 minutes?
Answers: 3
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