Determine whether each of the following statements istrue or false, and explain why in a few sentences.
1. The mean, median, and mode of a normal distributionare all equal.
2. If the mean, median, and mode of a distribution areall equal, then the distribution must be a normaldistribution.
3. If the means of two distributions are equal, then thevariance must also be equal.
4. The sample mean is not the same as the populationmean.
5. The mode of a distribution is the middle element ofthe distribution.
6. A large variance indicates that the data are groupedclosely together.
Answer the following questions in a fewsentences.
7. What is meant by the range of adistribution?
8. How are the variance and the standard deviation of adistribution related? What is measured by the standarddeviation?
9. Describe the characteristics of a normaldistribution.
10. What is meant by a skewed distribution?
