This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To calculate the mean deviation, we first need to find the mean of the given ages. Step 1: Calculate the mean (x) of the ages. The ages are 17, 11, 31, 18, 25, 12, 29, 13, and 15. There are N=9 members. x = ( x_i)/(N) x_i = 17 + 11 + 31 + 18 + 25 + 12 + 29 + 13 + 15 = 171 x = (171)/(9) = 19 Step 2: Calculate the absolute deviation of each age from the mean, |x_i - x|. • |17 - 19| = |-2| = 2 • |11 - 19| = |-8| = 8 • |31 - 19| = |12| = 12 • |18 - 19| = |-1| = 1 • |25 - 19| = |6| = 6 • |12 - 19| = |-7| = 7 • |29 - 19| = |10| = 10 • |13 - 19| = |-6| = 6 • |15 - 19| = |-4| = 4 Step 3: Sum the absolute deviations. |x_i - x| = 2 + 8 + 12 + 1 + 6 + 7 + 10 + 6 + 4 = 56 Step 4: Calculate the mean deviation. Mean Deviation = |x_i - x|N Mean Deviation = (56)/(9) Mean Deviation ≈ 6.22 The mean deviation is (56)/(9) or approximately 6.22. That's 2 down. 3 left today — send the next one.