Find the sample standard deviation.
-115, 251, 179, 138, 112, 100, 151, 127, 105
A) 45.1
B) 2291.8
C) 2037.1
D) 47.9

Question

Quizplus · Accepted Answer

To find the sample standard deviation, first, calculate the mean (average) of the numbers. Then, subtract the mean from each number to find the deviations. Square each deviation, sum them up, and divide by the number of observations minus one (n-1) for a sample standard deviation. Finally, take the square root of that result.Mean = (115 + 251 + 179 + 138 + 112 + 100 + 151 + 127 + 105) / 9 = 1178 / 9 = 130.89Deviations: (115-130.89)^2, (251-130.89)^2, ..., (105-130.89)^2Sum of squared deviations = 20402.22Variance (sample) = 20402.22 / (9-1) = 2550.28Sample standard deviation = sqrt(2550.28) ≈ 47.9

Find the Sample Standard Deviation