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

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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 ...

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Edwin Sinclar, MBA
Education
  • MBA, Aspen University
  • Bachelor of Science , Berea College
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