Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations.
-15, 42, 53, 7, 9, 12, 14, 28, 47
A)16.6
B)15.8
C)29.1
D)17.8

Question

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations.
-15, 42, 53, 7, 9, 12, 14, 28, 47 
A)16.6
B)15.8
C)29.1
D)17.8

Quizplus · Accepted Answer

The sample standard deviation is calculated using the formula: sqrt[(Σ(x - mean)^2) / (n - 1)], where x represents each value in the dataset, mean is the average of the dataset, and n is the number of observations. For the given data: mean = (15 + 42 + 53 + 7 + 9 + 12 + 14 + 28 + 47) / 9 = 227 / 9 ≈ 25.22. Then, we calculate each (x - mean)^2, sum them, divide by n - 1 (which is 8), and take the square root. Doing the calculations gives a sample standard deviation of approximately 17.8, rounded to one more decimal place than the observations.

Find the Sample Standard Deviation for the Given Data