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    Symmetrical Distributions

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    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddf
    https://brainmass.com/statistics/descriptive-statistics/standard-deviations-symmetrical-distributions-ordered-13689

    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.

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