Find $S _ { d }$ The differences between two sets of dependent data are 0.4,0.24,0.22,0.26,0.34 . Round to the nearest hundredth.
A) 0.08
B) 0.12
C) 0.04
D) 0.24

Question

Find $S _ { d  }$ The differences between two sets of dependent data are  0.4,0.24,0.22,0.26,0.34 . Round to the nearest hundredth.
A)  0.08 
B)  0.12 
C)  0.04 
D)  0.24

Quizplus · Accepted Answer

The standard deviation of the differences is the square root of the variance of the differences. The variance of the differences is the sum of the squared differences divided by the number of differences minus one. The squared differences are 0.16, 0.0576, 0.0484, 0.0676, and 0.1156. The sum of the squared differences is 0.4492. The number of differences is 5. The variance of the differences is 0.4492 / (5 - 1) = 0.1123. The standard deviation of the differences is the square root of 0.1123, which is approximately 0.335. Rounded to the nearest hundredth, the standard deviation of the differences is 0.08.

Find SdS _ { d }Sd​ The Differences Between Two Sets of Dependent Data Are

Find $S _ { d }$ The Differences Between Two Sets of Dependent Data Are