The previous exercise showed how to find the mean and median when a categorical variable has ordered categories. A categorical scale that does not have ordered categories (such as choice of religious affiliation or choice of major in college) is called a nominal scale. For such a variable, the mode (or modal category) applies, but not the mean or median. Explain why.
Answer to relevant Questionsa. The mean, median, and mode can never all be the same. b. The mean is always one of the data points. c. When n is odd, the median is one of the data points. d. The median is the same as the second quartile and the 50th ...We’ve seen that measures such as the mean, the range, and the standard deviation can be highly influenced by outliers. Explain why the range is worst in this sense. For the fertility data in the previous exercise, MINITAB reports the stem-and-leaf plot shown below. (You can ignore the cumulative counts in the left column if your instructor has not explained this feature of a MINITAB ...A data set analyzed by the famous statistician R. A. Fisher consisted of measurements of different varieties of iris blossoms. Below is a histogram representing the widths of the petals of Iris setosa. a. Describe the shape ...The figure shows dot plots for three sample data sets. a. For which, if any, data sets would you expect the mean and the median to be the same? Explain why. b. For which, if any, data sets would you expect the mean and the ...
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