Symmetrical Distributions
Four symmetrical distributions, labeled (a), (b), (c), and (d), are represented below by their histograms. Without performing any calculations, order the respective standards deviations σ_a, σ_b ,σ_c , and σ_d of the distributions.
A
X X
X X X X
X X X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14
B
X X
X X
X X
X X X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14
C
X X
X X X X
X X X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14
D
X X
X X
X X
X X
X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14.
Solution Preview
A
X X
X X X X
X X X X
1 2 3 4 5 6 7 8 9 10 11 12 13 14
B
X X
X X
X X
X X X X
1 2 3 4 5 6 7 8 9 10 11 12 ...
Solution Summary
The solution shows how standard deviations of the symmetrical distributions are ordered.