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36. CLOG when the Explain. a. right a PRACTICE b, obtuse a. congru Problem: In what ways can graphing data help you to see relationships among the data? ALGEBRA In Will bisects 10 mZAL Goals: In this investigation, you will plot data on a graph, answer questions about the graced data use the answers to conclude how graphing can help you see relationships among the data and 20 find me Materials: handout, graph paper. 2 different colored pencils each lip 38, 11 mZEF find me 39. 10 mZA Procedure: 40. If MIZE 41. If mZA 1. ORGANIZE DATA: Look at Data Table 1. List all the relationships you can see between the average heights of females and their ages. 12. 11 mcE MAPS form 2. List all the relationships you can see between the average heights of males and their ages the N my th B. NI b. Fa . List all the relationships you can see between the average heights of males and females, 4. GRAPH: On a sheet of graph paper, plot the data from Data Table 1. Connect the points with straight line segments, using different colored pencils from males and females. Label the lines (x and y axis). HINT: Time always goes on the x-axis and don't forget to include units! Data Table 1: Average Heights of Males and Females AGE AVERAGE HEIGHT CCSS AVERAGE HEIGHT dire (years) OF FEMALES (cm) and 126.4 OF MALES (cm) 8 9 132.2 127.0 10 138.3 132.2 144.8 137.5 11 151.5 143.3 12 149.7 13 157.1 156.5 14 160.4 163.1 15 161.8 169.0 16 162.4 173.5 17 163.1 176.8 18 163.7 176.8 19 163.8 176.9 20 163.8 176.9 OBSERVATIONS: 1. After making and examining your graph, what, if any, new relationships are you able to add o your lists? 2. After making and examining your graph, what, if any, of the relationships in your lists no longer seem correct? ANALYSIS: 1. Interpret data What overall pattern for both males and females do you see concerning how height changes with age? 2. Interpret data How does rate of growth in males change at age 13? (Hint: Look at the slope of the curve.) 3. Interpret data How does the rate of growth in females change at age 15? 4. Infer If the heights in a class of 12-year old boys and girls were measured, would you expect the average height of the boys or the girls to be greater? CONCLUSIONS: 1. Generalize Which was easier to use to answer Analysis questions 1-4: the data tables, your lists, or your graph? WHY? 2. Infer In what ways can graphing data help you to see relationships among the data