Answer: B
Step-by-step explanation:
Given the following data :
A. 20, 21, 23, 19, 19, 20, 20
B. 1, 6,3, 15, 4, 12, 8
C. 3.4.3.4.3.4.3
D. 12. 14, 13, 14, 12, 13, 12
Standard deviation = √[Σ(x - μ) / n]
Where x = scores, μ = mean value of the scores or data, n = number of values in the data.
And mean(μ) = Σx / n
Using the online standard deviation calculator :
For data A: 20, 21, 23, 19, 19, 20, 20
σ = 1.2777531299999
For data B : 1, 6,3, 15, 4, 12, 8
σ = 4.6598589800857
For data C: 3,4, 3, 4, 3, 4, 3
σ = 0.49487165930539
For data D: 12, 14, 13, 14, 12, 13, 12
σ = 0.83299312783504
Therefore data B has the largest standard deviation.