Provide a response to the following prompts.
1. The Wilcox & Keselman article from this week’s electronic readings discusses two problems with measures of central tendency: skewness of the data and outliers. Discuss each of these issues and how they affect measures of central tendency.
2. How do the sample mean and the population mean differ? What is the symbol for each type of mean?
3. An expert reviews a sample of 10 scientific articles (n = 10) and records the following numbers of error in each article: 0, 4, 2, 8, 2, 3, 1, 0, 5, and 7.
a. Compute the mean, median, mode, sum of squares , the variance, and the standard deviation for this sample using the definitional and computational formulas. You may use Microsoft® Excel® data anlysis to compute these statistics and copy your output into this worksheet.
Explain, to a person who has never had a course in statistics what you have done.
4. A researcher records the levels of attraction for various fashion models among college students. He finds that mean levels of attraction are much higher than the median and the mode for these data.
a. What is the shape of the distribution for the data in this study?
b. What measure of central tendency is most appropriate for describing these data? Why?
5. On a standard measure of hearing ability, the mean is 300, and the standard deviation is 20. Provide the Z scores for persons whose raw scores are 340, 310, and 260. Provide the raw scores for persons whose Z scores on this test are 2.4, 1.5, and -4.5.
