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Find the slope of the median-median line for the dataset in this table. x y 24.9 38 7.2 40 15.1 25 19.8 35 10.3 21 2.7 26 21.3 46 14.7 24 17.6 44 14.9 21 4.4 36 7.4 22 11.6 20

Find the slope of the median-median line for the dataset in this table.\newline\begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline 2424.99 & 3838 \\\newline\hline 77.22 & 4040 \\\newline\hline 1515.11 & 2525 \\\newline\hline 1919.88 & 3535 \\\newline\hline 1010.33 & 2121 \\\newline\hline 22.77 & 2626 \\\newline\hline 2121.33 & 4646 \\\newline\hline 1414.77 & 2424 \\\newline\hline 1717.66 & 4444 \\\newline\hline 1414.99 & 2121 \\\newline\hline 44.44 & 3636 \\\newline\hline 77.44 & 2222 \\\newline\hline 1111.66 & 2020 \\\newline\hline\newline\end{tabular}

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Q. Find the slope of the median-median line for the dataset in this table.\newline\begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline 2424.99 & 3838 \\\newline\hline 77.22 & 4040 \\\newline\hline 1515.11 & 2525 \\\newline\hline 1919.88 & 3535 \\\newline\hline 1010.33 & 2121 \\\newline\hline 22.77 & 2626 \\\newline\hline 2121.33 & 4646 \\\newline\hline 1414.77 & 2424 \\\newline\hline 1717.66 & 4444 \\\newline\hline 1414.99 & 2121 \\\newline\hline 44.44 & 3636 \\\newline\hline 77.44 & 2222 \\\newline\hline 1111.66 & 2020 \\\newline\hline\newline\end{tabular}
  1. Sort Data: Sort the dataset by the xx-values to make it easier to divide the data into three equal groups.
  2. Divide into Groups: Divide the dataset into three groups with an equal number of points in each group. If the number of data points is not divisible by 33, the middle group may have one more data point than the other two.
  3. Find Median Points: Find the median xx-value and median yy-value for each group. These points are called the ＂median points.＂
  4. Calculate Slope: Use the median points to calculate the slope of the median-median line. The slope mm is given by the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the median points from the first and third groups, respectively.
  5. Calculate Group 11 Median: Calculate the median xx-value and median yy-value for the first group.
  6. Calculate Group 33 Median: Calculate the median xx-value and median yy-value for the third group.
  7. Substitute into Formula: Substitute the median points into the slope formula to find the slope of the median-median line.
  8. Find Slope: Perform the calculation to find the slope.
  9. Verify Calculation: Verify the calculation for any mathematical errors.
  10. Report Final Answer: Report the final answer for the slope of the median-median line.

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