Download Empirical Rule Worksheet and more Lecture notes Statistics in PDF only on Docsity! CPM NAME: Empirical Rule WS 1. Given an approximately normal distribution what percentage of all values are within 1 standard deviation from the mean? 2. Given an approximately normal distribution what percentage of all values are within 2 standard deviations from the mean? 3. Given an approximately normal distribution what percentage of all values are within 3 standard deviations from the mean? 4. Given an approximately normal distribution with a mean of 175 and a standard deviation of 37. a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean. b) What percent of values are within the interval (138, 212)? c) What percent of values are within the interval (101, 249)? d) What percent of values are within the interval (64, 286)? e) What percent of values outside the interval (138, 212)? f) What percent of values are outside the interval (101, 249)? g) What percent of values are outside the interval (64, 286)? 5. Given an approximately normal distribution with a mean of 121 and a standard deviation of 40. a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean. b) What interval contains 68% of all values? c) What interval contains 95% of all values? d) What interval contains 99.7% of all values? e) What percent of values are above 201? f) What percent of values are below 81? 6. Given an approximately normal distribution with a mean of 159 and a standard deviation of 70. a) What percent of values are within the interval (89, 299)? b) What percent of values are within the interval (19, 159)? c) What interval contains 99.7% of all values? d) What percent of values are above 229? e) What percent of values are outside the interval (19, 229)?
