Advanced Algebra II Notes 3.4 The Median-Median Line

Weight

Length

Using the weights and springs on the ring stands, complete the table below:

Step 1: Order all the points by their domain (x-values) Step 2: Divide the points into 3 equal groups (if the number of data points does not divide evenly by 3, divide them so that there is symmetry. Example: 3, 4, 3 or 4, 3, 4) Step 3: Order the y-values by size. The representative point for each group is the median x-value and the median y-value, even though they are not together in a single point. Step 4: Use the first and last median points to calculate a line. Step 5: Using the slope from step 4 and the middle median point, calculate the y-intercept using that point. Step 6: Using the y-intercept from step 4 twice and the y-intercept from step 5 once, find the mean intercept. Step 7: Write the equation of the median-median line on the graph paper. Step 8: Draw a line of best fit and write the equation of the line on the graph. Step 9: Predict the length of the spring with a weight of 234 grams using each equation and put the information on the graph.

Assignment: page 139: 1 – 9, 11