15. A student asks, "If the mean income of 10 people is \( \$ 10,000 \) and one person gets a raise of \( \$ 10,000 \), is the median, the mean, or the mode changed and, if so, by how much?" 16. Jose asks, "Why can a median number of children not be 3.8 " How do you respond? 17. Suppose the class takes a test and the following averages are obtained: mean, 80 ; median, 90 ; and mode, 70 . Tom, who scored 80 , would like to know if he did better than half the class. What is your response? 18. A student asks if it is possible to find the mode for data in a grouped frequency table. What is your response? 19. A student asks if she can draw any conclusions about a set of data if she knows that the mean for the data is less than the median. How do you answer? 21. Mel's mean on 10 tests for the quarter was 89 . She complained to the teacher that she should be given an A because she missed the cutoff of 90 by only a single point. Explain whether it is clear that she really missed an A by only a single point if each test was based on 100 points.
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