By Clark D.N.

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**Extra resources for A similarity problem for Toeplitz operators**

**Example text**

Explain. For Exercises 5–8, use the table on the next page. 5. Make a stem-and-leaf plot of the students’ ages. The plot has been started for you at the right. Notice that the first value in the stem is 6, because there are no values less than 60 months. 6. What ages, in years, does the interval of 80–89 months represent? 7. What is the median age of these students? 8. a. On a piece of grid paper, make a coordinate graph. Show age (in months) on the horizontal axis and height (in centimeters) on the vertical axis.

A. Choose any of the following that could be the number of pens they had altogether. Explain your reasoning. A. 12 B. 18 C. 46 D. 48 b. Use your response from part (a). How many pens did each person have after the pens were distributed evenly? c. Your classmate says that finding the mean number of pens per person is the same as finding the number of pens each person had after the pens were distributed evenly. Do you agree or disagree? Explain. Extensions For Exercises 20 and 21, use the newspaper headline.

Explain your reasoning. A. 12 B. 18 C. 46 D. 48 b. Use your response from part (a). How many pens did each person have after the pens were distributed evenly? c. Your classmate says that finding the mean number of pens per person is the same as finding the number of pens each person had after the pens were distributed evenly. Do you agree or disagree? Explain. Extensions For Exercises 20 and 21, use the newspaper headline. 20. Do you think that this headline is referring to a mean, a median, or something else?