Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations.
-22, 29, 21, 24, 27, 28, 25, 36
A)4.8
B)4.2
C)2.8
D)1.6

Question

Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that usedfor the observations.
-22, 29, 21, 24, 27, 28, 25, 36 
A)4.8
B)4.2
C)2.8
D)1.6

Quizplus · Accepted Answer

The sample standard deviation is calculated using the formula: sqrt(Σ(x - mean)^2 / (n - 1)), where x is each value, mean is the average of the values, and n is the number of values. For the given data: mean = (22 + 29 + 21 + 24 + 27 + 28 + 25 + 36) / 8 = 202 / 8 = 25.25. Then, calculate each (x - mean)^2, sum them, divide by n - 1 (which is 7), and take the square root. The calculation gives a sample standard deviation of approximately 4.8.

Find the Sample Standard Deviation for the Given Data