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
You're on a roll — To find the standard deviation, we use the formula: = sqrt( (x_i - x))^2N where x_i are the individual data points, x is the mean, and N is the number of data points. The given data points are 4, 5, 6. Step 1: Calculate the mean (x). The number of data points N = 3. x = (4 + 5 + 6)/(3) = (15)/(3) = 5 Step 2: Calculate the squared difference of each data point from the mean, (x_i - x)^2. For x_1 = 4: (4 - 5)^2 = (-1)^2 = 1 For x_2 = 5: (5 - 5)^2 = (0)^2 = 0 For x_3 = 6: (6 - 5)^2 = (1)^2 = 1 Step 3: Sum the squared differences. (x_i - x)^2 = 1 + 0 + 1 = 2 Step 4: Substitute the values into the standard deviation formula and calculate. = sqrt((2)/(3)) ≈ sqrt(0.6667) ≈ 0.8165 The standard deviation is: 0.8165 What's next? Send 'em.