Chapter Outline 6: The Standard Deviation as a Ruler and the Normal Model 1. What unit of measurement is used to describe how far a set of values are from the mean? 2. Explain how to a value. standardize 3. Briefly describe why are used to compare values that are measured using standardized units different scales, different units, or different populations. 4. How does adding or subtracting a constant amount to each value in a set of data affect the mean? Why does this happen? 5. How does multiplying or dividing a constant amount by each value in a set of data (also called rescaling) affect the mean? Why does this happen? 6. How does adding or subtracting a constant amount to each in a set of data affect the standard deviation? Why does this happen? 7. How does multiplying or dividing a constant amount by each value in a set of data (also called rescaling) affect the standard deviation? Why does this happen? 8. How does a variable affect the shape, center, and spread of its distribution? standardizing 9. In what way does a give an indication of how unusual a value is? 10. How would you describe the shape of a Draw several examples. normal curve? 11. Where on the are located? normal curve inflection points 12. When is it appropriate to use a to model a set of data? normal model 13. Explain the difference between and . y μ
Chapter Outline 6: The Standard Deviation as a Ruler and the Normal Model 1. What unit of measurement is used to describe how far a set of values are from the mean? 2. Explain how to standardize a value. 3. Briefly describe why standardized units are used to compare values that are measured using different scales, different units, or different populations. 4. How does adding or subtracting a constant amount to each value in a set of data affect the mean? Why does this happen? 5. How does multiplying or dividing a constant amount by each value in a set of data (also called rescaling) affect the mean? Why does this happen? 6. How does adding or subtracting a constant amount to each in a set of data affect the standard deviation? Why does this happen? 7. How does multiplying or dividing a constant amount by each value in a set of data (also called rescaling) affect the standard deviation? Why does this happen? 8. How does standardizing a variable affect the shape, center, and spread of its distribution? 9. In what way does a give an indication of how unusual a value is? 10. How would you describe the shape of a normal curve? Draw several examples. 11. Where on the normal curve are inflection points located? 12. When is it appropriate to use a normal model to model a set of data? 13. Explain the difference between y and μ .
Notes%20Chp%201-6.docx