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
Step 1: The standard deviation for a population of N data points is given by the formula = sqrt(_i=1)^N (x_i - x)^2N, where x is the mean x = ( x_i)/(N). Step 2: Compare with option A: sqrt(x) - xsqrt(N). This lacks the sum , squared differences (x_i - x)^2, and has incorrect denominator sqrt(N). Incorrect. Step 3: Compare with option B: sqrt( (x_i - x))N. This averages the differences (x_i - x) without squaring them. Incorrect (this resembles mean absolute deviation). Step 4: Compare with option C: sqrt( (x_i - x))^2N. This matches the standard deviation formula exactly. Correct. Step 5: Compare with option D: sqrt( (x_i - x))^2N (OCR artifacts like "10 szu" likely irrelevant; appears identical to C, but context suggests possible sample variant—however, standard population uses N). Option C is the clear match. Step 6: Compare with option E: sqrt((x - x))^2N. Lacks the sum over all data points. Incorrect. C