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    the impact of an outlier on the mean

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    Given a sample of 50 IQ scores ranging from 80 to 145, if the 145 were accidentally typed in error as a 415, what would be the impact on the following statistics? (Answer with increase, decrease or remains the same.)
    The mean.
    The median.
    The standard deviation.
    The range.

    © BrainMass Inc. brainmass.com June 3, 2020, 9:28 pm ad1c9bdddf
    https://brainmass.com/statistics/dispersion-and-spread-of-data/impact-outlier-mean-183525

    Solution Preview

    The 50 IQ scores are first listed from small to larger as x1, x2, ..., x50
    where x1 = 80, and x50 = 145
    However, x50 = 415 now.
    1) the mean: increase
    the mean = (x1 + x2 + ... + x49 + x50) / 50 = (x1 + x2 + ... + x49 ) / 50 + x50/50
    since x50 is larger, ...

    Solution Summary

    It analyzes how an outliner in an IQ scores samples impacts the mean, median, standard deviation, and range.

    $2.19

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