Which data set has the largest standard deviation?

A. 20, 21, 23, 19, 19, 20, 20

OB. 1.6,3, 15, 4, 12, 8

O C. 3.4.3.4.3.4.3

O D. 12. 14, 13, 14, 12, 13, 12

Answer: B

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.