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    Range and mean not good predictor of variability

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    Four sets are listed in the table below. Each set represents a sample. Find the range, mean, and
    standard deviation for each set. Use your results to fill in the table.

    Set:
    f1; 2; 98; 100g
    f1; 49; 51; 100g
    f1; 25; 75; 100g
    f1; 40; 60; 100g

    Based on your results above, please answer the following questions:
    (1) Why is the range of a data set not a good predictor of variability?
    (2) Why is the mean of a data set not a good predictor of variability?

    © BrainMass Inc. brainmass.com October 5, 2022, 2:30 pm ad1c9bdddf
    https://brainmass.com/business/business-math/range-mean-not-good-predictor-variability-501447

    SOLUTION This solution is FREE courtesy of BrainMass!

    Range Mean STD.
    98.0 66.7 56.0
    51.0 66.7 28.9
    75.0 66.7 38.2
    60.0 66.7 30.6

    (1) Why is the range of a data set not a good predictor of variability?
    Range is not a good predictor of variability because it does not take into account the entire data set. It takes into account only two data sets namely the highest and the lowest data. Two numbers cannot truly explain the spread of the data set in question.

    (2) Why is the mean of a data set not a good predictor of variability?
    The mean is not a good predictor of variability because it is usually skewed by the outliers. Just like the range, the highest and the lowest data set affects the mean in a very negative way. The best predictor of variability that all statisticians have come to agree on is the standard deviation.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 5, 2022, 2:30 pm ad1c9bdddf>
    https://brainmass.com/business/business-math/range-mean-not-good-predictor-variability-501447

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