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
Here's the solution to the problem. Problem 2: The mean of 30 observations recorded in an experiment is 5. If the observed largest value of 34 is deleted, find the mean of the remaining distributions. Step 1: Calculate the sum of the initial observations. The formula for the mean is Mean = Sum of observationsNumber of observations. Given: Initial number of observations (N_1) = 30 Initial mean (x_1) = 5 Let the initial sum of observations be x_1. x_1 = ( x_1)/(N_1) 5 = ( x_1)/(30) x_1 = 5 × 30 x_1 = 150 Step 2: Calculate the new sum of observations after deleting the value. The largest value deleted is 34. New sum of observations ( x_2) = Initial sum - Deleted value x_2 = 150 - 34 x_2 = 116 Step 3: Calculate the new number of observations. New number of observations (N_2) = Initial number - 1 (since one observation is deleted) N_2 = 30 - 1 N_2 = 29 Step 4: Calculate the mean of the remaining distributions. New mean (x_2) = New sum of observationsNew number of observations x_2 = ( x_2)/(N_2) x_2 = (116)/(29) x_2 = 4 The mean of the remaining distributions is 4. 3 done, 2 left today. You're making progress.