Howell Estrada
02/09/2023 · Escuela secundaria superior

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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15. The mean increases by \( \$ 1,000 \), the median and mode remain unchanged. 16. The median must be a whole number, so it cannot be 3.8. 17. Tom did not score better than half the class since the median is 90. 18. Yes, the mode can be found in a grouped frequency table by identifying the group with the highest frequency. 19. A mean less than the median indicates a positively skewed distribution. 21. It's not clear Mel missed an A by only a single point without knowing the specific cutoff.

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