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    Frequency Distribution Analysis

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    A frequency distribution is shown below. Complete parts (a) through (e).
    The number of dogs per household in a small town.
    Dogs 0 1 2 3 4 5
    Households 1185 425 163 45 28 15
    x P(x)
    0
    1
    2
    3
    4
    5
    (a) Use the frequency distribution to construct a probability distribution.
    (round to the nearest thousandth as needed)

    (b) Find the mean of the probability distribution.
    µ = ____ (round to the nearest tenth as needed)

    (c) Find the variance of the probability distribution.
    o² = ____ (round to the nearest tenth as needed)

    (d) Find the standard deviation of the probability distribution.
    ____ (round to the nearest tenth as needed)

    (e) Interpret the results in the context of the real-life situation. (choose the correct option below)
    ___ A household on average has 0.6 dog with a standard deviation of 15 dog.
    ___ A household on average has 1.0 dog with a standard deviation of 0.6 dog.
    ___ A household on average has 0.9 dog with a standard deviation of 1.0 dog.
    ___ A household on average has 0.6 dog with a standard deviation of 1.0 dog.

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    https://brainmass.com/statistics/summary-tables/frequency-distribution-analysis-498917

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    Solution Preview

    A frequency distribution is shown below. Complete parts (a) through (e).
    The number of dogs per household in a small town.
    Dogs 0 1 2 3 4 5
    Households 1185 425 163 45 28 15
    Use the frequency distribution to construct a probability distribution.
    x P(x)
    0 1185/1861= .637
    1 425/1861=.228
    2 163/1861=.088
    3 ...

    Solution Summary

    Frequency distribution analysis is examined.

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