Asked by Prince Saini on May 30, 2024

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The ________ is used to compare the variability of two or more data sets with different scales.

A) coefficient of variation
B) variance
C) median
D) coefficient of skewness

Coefficient Of Variation

A statistical measure that compares the standard deviation to the mean of a dataset, expressed as a percentage, used to assess relative variability.

Variability

A measure of the dispersion or spread of a set of data points within a dataset, indicating how much the data points differ from the average value.

  • Compute and elucidate the coefficients of variation, skewness, and kurtosis as indicators of relative dispersion, asymmetry, and distribution peakedness respectively.
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MC
Matthew CopelandMay 31, 2024
Final Answer :
A
Explanation :
The coefficient of variation is a standardized measure of variability, calculated as the ratio of the standard deviation to the mean. It is useful for comparing the variability of data sets with different scales, because it normalizes the differences in scale by expressing the variation relative to the mean. Variance and median are measures of central tendency and dispersion, respectively, but do not serve the function of comparing variability across different scales. The coefficient of skewness is a measure of the asymmetry of a probability distribution, and does not directly compare variability across different data sets.