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The coefficient of variation is expressed in:a. Percentageb. Decimalc. Ratiod. Integer

Question

The coefficient of variation is expressed in:

a. Percentage
b. Decimal
c. Ratio
d. Integer

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Solution

Break Down the Problem

  1. Determine the definition of the coefficient of variation (CV).
  2. Identify how the CV is generally expressed in statistics.

Relevant Concepts

  • The coefficient of variation is a statistical measure that expresses the ratio of the standard deviation to the mean, often used to assess the relative variability of data.

Analysis and Detail

  1. The formula for the coefficient of variation is: CV=σμ×100% CV = \frac{\sigma}{\mu} \times 100\% where σ\sigma is the standard deviation and μ\mu is the mean. Multiplying by 100% indicates that it is expressed as a percentage.

Verify and Summarize

  • Since the CV represents a relative measure of variability in the form of a percentage, the appropriate expression is clearly a percentage.

Final Answer

The coefficient of variation is expressed in: a. Percentage.

This problem has been solved

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