Calculate the sample standard deviation using the following data: 4,5,2,6,4,3,4
A)1.01
B)1.22
C)1.29 Yes,should be 1.29 !!
D)1.98

Question

Quizplus · Accepted Answer

The sample standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences from the Mean. For the given data: Mean = (4+5+2+6+4+3+4)/7 = 28/7 = 4. Variance = [(4-4)^2 + (5-4)^2 + (2-4)^2 + (6-4)^2 + (4-4)^2 + (3-4)^2 + (4-4)^2] / 6 = (0 + 1 + 4 + 4 + 0 + 1 + 0) / 6 = 10 / 6 = 1.6667. Standard Deviation = sqrt(1.6667) ≈ 1.29.

Calculate the Sample Standard Deviation Using the Following Data: 4,5,2,6,4,3,4