AMS 5 Lecture Notes - Lecture 6: Normal Distribution, Standard Deviation, Scatter Plot

• School: UCSC
• Department: Applied Math and Statistics
• Course: AMS 5
• Professor: Yonatan Katznelson

Document Summary

Remember: this rule only applies to data that is (approximately) normally distributed! Absent that condition (or another assumption about how the data is distributed) we rely on weaker (but more general) estimates (like tchebychev"s inequality). To calculate areas under the normal curve for regions other than those above (-1 to 1, -2 to 2, and -3 to 3), we use a normal table, like the one found in the back of the textbook. Avg = 67, sd = 5: (72-67)/2. 5 = 2, proportion of pop > 72 inches = (100%-95%)/2 = 2. 5% The table in the appendix gives the areas for symmetric regions z(0)<= z <= z(0) (as percentages), where 0 <= z(0) <= 4. 45. If z(0) >= 4. 50, you can assume that the corresponding area is 99. 9999% Height of 65 inches corresponds to (65-67)/2. 5 = -. 8 standard units (sus), and 69 inches corresponds to (69-67)/2. 5 = . 8 sus.