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CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion

Which of the following is a correct statement about the mode?

The mode is not affected by extreme values. It is determined by the most frequently occurring value or the most concentrated class, so very large or very small observations do not shift it, unlike the arithmetic mean.

  1. AIt is always unique for any set of data
  2. BIt is not affected by extreme values in the dataCorrect
  3. CIt is always equal to the arithmetic mean in an asymmetrical distribution
  4. DIt can be computed only when every class has equal width

Explanation

The mode depends only on the most frequent value, so extreme observations do not change it. It may be non-unique, as in bimodal data. It equals the mean only in symmetrical unimodal distributions, not in asymmetrical ones.

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