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
Alright BILIJITIN — let's do this. To find the mean deviation, we first need to calculate the mean (x) of the given ages, and then find the average of the absolute differences between each age and the mean. The ages are: 17, 11, 31, 18, 25, 29, 13, 15. The number of observations is N=8. Step 1: Calculate the mean (x). The mean is the sum of all ages divided by the number of ages. x = (17 + 11 + 31 + 18 + 25 + 29 + 13 + 15)/(8) x = (159)/(8) x = 19.875 Step 2: Calculate the absolute deviation of each age from the mean, |x_i - x|. • |17 - 19.875| = |-2.875| = 2.875 • |11 - 19.875| = |-8.875| = 8.875 • |31 - 19.875| = |11.125| = 11.125 • |18 - 19.875| = |-1.875| = 1.875 • |25 - 19.875| = |5.125| = 5.125 • |29 - 19.875| = |9.125| = 9.125 • |13 - 19.875| = |-6.875| = 6.875 • |15 - 19.875| = |-4.875| = 4.875 Step 3: Calculate the sum of the absolute deviations. |x_i - x| = 2.875 + 8.875 + 11.125 + 1.875 + 5.125 + 9.125 + 6.875 + 4.875 |x_i - x| = 50.75 Step 4: Calculate the mean deviation. The mean deviation is the sum of the absolute deviations divided by the number of observations. Mean Deviation = |x_i - x|N Mean Deviation = (50.75)/(8) Mean Deviation = 6.34375 The final answer is 6.34375. Drop the next question.