Graduate Management Admission Test (GMAT) Practice Test

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In a set of data, how is the mode defined?

  1. Average of all numbers

  2. Number appearing the most

  3. Number appearing the least

  4. Sum of all numbers divided by count

The correct answer is: Number appearing the most

The mode of a set of data is defined as the number that appears most frequently within that set. When analyzing a collection of numbers, the mode helps identify which value occurs with the highest frequency, thereby giving insight into the most common value within the data. It is especially useful in understanding data distributions, particularly when the dataset has repeated values. For instance, if we have a dataset like {1, 2, 2, 3, 4}, the mode is 2 because it appears more times than any other number. In cases where no number repeats, the dataset may be said to have no mode, or it may have multiple modes if several numbers share the highest frequency. The other options are associated with different statistical measures: the average refers to the mean (the sum of numbers divided by the count), the least frequent number does not relate to the mode and does not provide meaningful information in this context, and the sum of all numbers divided by the count refers specifically to calculating the mean rather than the mode. Thus, the mode's specific role within statistics is to identify that most frequently occurring value.