Standard deviation expresses the amount by which the values of the terms in a group differ from the value of the mean. We would determine the mean of each set of numbers.
A. Mean = (9 + 11 + 13 + 10 + 13 + 13 + 13 + 9 + 9 + 10)/10 = 11
The least difference is 1 and the highest difference is 2
B. Mean = (24 + 15 + 21 + 23 + 9 + 22 + 12 + 21 + 20 + 13)/10 = 18
The least difference is 2 and the highest difference is 9
B. Mean = (24 + 15 + 21 + 23 + 9 + 22 + 12 + 21 + 20 + 13)/10 = 18
The least difference is 2 and the highest difference is 9
C. Mean = (15 + 18 + 18 + 18 + 18 + 15 + 15 + 15 + 16 + 16)/10 = 16.4
The least difference is 0.4 and the highest difference is 1.6
D. Mean = (23 + 24 + 23 + 24 + 26 + 25 + 26 + 23 + 26 + 24 )/10 = 24.4
The least difference is 0.4 and the highest difference is 1.6
D. Mean = (10 + 12 + 13 + 11 + 11 + 14 + 14 + 11 + 12 + 12)/10 = 12
The least difference is 0 and the highest difference is 2
Looking at the results, we can see that option B has the highest difference. The difference of the values of the terms and that of the mean is greatest. There is more spread and it means that it has the largest standard deviation.Therefore,
the correct option is B