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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?

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    Solution Preview

    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 ...

    Solution Summary

    The range and mean being not a good predictor of variability is determined.

    $2.19