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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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SnowQueen SnowQueen
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6 years ago
Suppose your data set contains ages (in years) and you calculate the range, variance, standard deviation, and coefficient of variation for the data. Explain what units each of these measures is in.
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6 years ago
Range subtracts two years (largest minus smallest) so it is still in units of years. The variance is the average squared deviation from the mean, which is measured in square units. In this case, years squared. (These units have no meaning in this case.) The standard deviation is the square root of the variance, taking the units back to years. The coefficient of variation takes the standard deviation (in years) divided by the mean (in years) and hence has no units at all.
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