real-life examples of a variable.
1. Find three real-life examples of a continuous variable. Which do you think may be normally distributed? Why?
2. In a normal distribution, which is greater, the mean or the median? Explain.
3. What is the total area under the normal curve?
4. What do the inflection points on a normal distribution represent? Where do they occur?
5. Draw two normal curves that have the same mean but different standard deviations. Describe the similarities and differences.
6. Draw two normal curves that have different means but the same standard deviation. Describe the similarities and differences.
7. What is the mean of the standard normal distribution? What is the standard deviation of the standard normal distribution?
8. Describe how you can transform a nonstandard normal distribution to the standard normal distribution.
9. Getting at the Concept Why is it correct to say “a” normal distribution and “the” standard normal distribution?
10. Getting at the Concept A z-score is 0. Which of these statements must be true? Explain your reasoning.
(a) The mean is 0.
(b) The corresponding x-value is 0.
(c) The corresponding x-value is equal to the mean.