Mode of the observations 0,1,6,7,2,3,7,0,7,2,6,6,7, is

Mode is the value that occurs most often in a data set. Count the frequencies: 0 appears 2 times, 1 once, 2 twice, 3 once, 6 three times, and 7 four times. The total is 13 observations, which checks out. So 7 is the mode, and option C is correct.

• A) 3.8 is wrong. The sum is 54, so the mean is 54/13, about 4.15. Nothing in the data gives 3.8.
• B) 6 is wrong. It is the median (the 7th value in sorted order: 0,0,1,2,2,3,6,6,6,7,7,7,7). It is not the most frequent value.
• D) None of the above is wrong, because C is correct.

The core concept is the distinction between mean, median and mode, which is basic descriptive statistics and appears in Prelims CSAT and General Studies data-interpretation questions. In Mains, the same idea helps you read skewed distributions such as income or land holding data, where the mode and median can tell a different story from the mean.

Trap: Aspirants compute the mean or the median by habit and pick whichever number looks familiar. Always count frequencies first when the question says mode.