What is the standard deviation of the values below? 4.5, 5.1, 6.2, 2.1, 3.9

Question

Quizplus · Accepted Answer

1. Calculate the mean: (4.5 + 5.1 + 6.2 + 2.1 + 3.9) / 5 = 4.96
2. Calculate the variance:
   - Subtract the mean from each value: 
     4.5 - 4.96 = -0.46
     5.1 - 4.96 = 0.14
     6.2 - 4.96 = 1.24
     2.1 - 4.96 = -2.86
     3.9 - 4.96 = -1.06
   - Square each of the differences: 
     (-0.46)^2 = 0.2116
     (0.14)^2 = 0.0196
     (1.24)^2 = 1.5376
     (-2.86)^2 = 8.1996
     (-1.06)^2 = 1.1236
   - Add up the squared differences: 0.2116 + 0.0196 + 1.5376 + 8.1996 + 1.1236 = 11.092
   - Divide the sum by the number of values minus 1: 11.092 / (5-1) = 2.773
3. Calculate the standard deviation: square root of the variance = square root of 2.773 = 1.362. 
Therefore, the best choice is C.

What Is the Standard Deviation of the Values Below? 4