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 how to calculate the mean using an assumed mean of 600: Step 1: Identify the assumed mean (A) and the data points (x_i). The assumed mean is A = 600. The data points are x_i = \635, 725, 439, 710, 694, 720, 450, 625, 392\. The number of data points is n = 9. Step 2: Calculate the deviation (d_i = x_i - A) for each data point. d_1 &= 635 - 600 = 35 \\ d_2 &= 725 - 600 = 125 \\ d_3 &= 439 - 600 = -161 \\ d_4 &= 710 - 600 = 110 \\ d_5 &= 694 - 600 = 94 \\ d_6 &= 720 - 600 = 120 \\ d_7 &= 450 - 600 = -150 \\ d_8 &= 625 - 600 = 25 \\ d_9 &= 392 - 600 = -208 Step 3: Calculate the sum of the deviations ( d). d = 35 + 125 - 161 + 110 + 94 + 120 - 150 + 25 - 208 = -60 Step 4: Apply the formula for the mean using the assumed mean method. The formula is x = A + ( d)/(n). x = 600 + (-60)/(9) Step 5: Simplify the expression to find the mean. x = 600 - (60)/(9) \\ x = 600 - 6.666... \\ x ≈ 593.33 The mean of the given data is approximately 593.33. Send me the next one 📸