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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 13 14

C
...

Solution Summary

The solution shows how standard deviations of the symmetrical distributions are ordered.

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