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CERTIFIED-DATA-ANALYST-ASSOCIATE · Question #57

CERTIFIED-DATA-ANALYST-ASSOCIATE Question #57: Real Exam Question with Answer & Explanation

The correct answer is D: Variance is a measure of how far a set of values is spread out from the sets central value.. Option D is correct because variance specifically quantifies the spread or dispersion of a dataset around its mean - mathematically, it's the average of the squared differences from the mean, making it a direct measure of how "spread out" values are from the center. A is wrong be

Question

What describes the variance of a set of values?

Options

  • AVariance is a measure of how far a single observed value is from a set of values.
  • BVariance is a measure of how far an observed value is from the variable's maximum or minimum
  • CVariance is a measure of central tendency of a set of values.
  • DVariance is a measure of how far a set of values is spread out from the sets central value.

Explanation

Option D is correct because variance specifically quantifies the spread or dispersion of a dataset around its mean - mathematically, it's the average of the squared differences from the mean, making it a direct measure of how "spread out" values are from the center.

A is wrong because variance describes the spread of the entire set, not a single observed value's distance from the set - that concept describes a residual or deviation. B is wrong because variance has nothing to do with maximum or minimum values; those relate to range. C is wrong because central tendency (mean, median, mode) describes the center of data - variance does the opposite, describing how far values stray from that center.

Memory tip: Think of the word "variance" as containing the idea of variation - how much the values vary from each other and from the middle. If the values are tightly clustered, variance is low; if they're wildly spread, variance is high.

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