Data Set 4-1: 2, 7, 3, 6, 2
-For Data Set 4-1, find the standard deviation $\sigma$.
A) 2.10
B) 2.05
C) 4.40
D) 4.69.

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean (average) of the data set: (2 + 7 + 3 + 6 + 2) / 5 = 20 / 5 = 4. Then, find the squared differences from the mean: (2-4)^2 + (7-4)^2 + (3-4)^2 + (6-4)^2 + (2-4)^2 = 4 + 9 + 1 + 4 + 4 = 22. The variance is the average of these squared differences: 22 / 5 = 4.4. The standard deviation is the square root of the variance: sqrt(4.4) ≈ 2.10.

Data Set 4-1: 2, 7, 3, 6, 2 -For Data σ\sigmaσ

Data Set 4-1: 2, 7, 3, 6, 2
-For Data $\sigma$