A similarity problem for Toeplitz operators by Clark D.N.

By Clark D.N.

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Example text

Draw a diagonal line on the graph that would represent points at which arm span and height are equal. 1. How many data points lie on this line? How does arm span relate to height for the points on the line? 2. How many data points lie below this line? How does arm span relate to height for the points below the line? 3. How many data points lie above this line? How does arm span relate to height for the points above the line? Homework starts on page 40. 1, you made stem-and-leaf plots to show data about travel times to school.

Use your graph to describe what happens to students’ heights as the students get older. d. What would happen to the graph if you extended it to include people in their late teens or early twenties? Explain. qxd 5/16/05 11:15 AM Page 42 9. The coordinate graph below shows the height and foot length data from the table on the previous page. Notice that the scale on the x-axis uses intervals of 5 centimeters and the scale on the y-axis uses intervals of 1 centimeter. Foot Length (cm) Student Heights and Foot Lengths 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 100 110 120 130 140 150 160 170 Height (cm) a.

Explain. D. 1. What happens to the mean of a data set when you add one or more data values that are outliers? Explain. 2. What happens to the mean of a data set when you add data values that cluster near one end of the original data set? Explain. 3. Explain why you think these changes might occur. Homework starts on page 56. Investigation 3 What Do We Mean by Mean? qxd 5/16/05 10:04 AM Page 56 Applications For Exercises 1 and 2, use the line plot. Number of Children in a Household 0 1 2 3 4 5 6 7 8 9 10 11 12 1.