The mode of the given data is: 5,7,9,3,7,3,7,5,7

The mode is the value that occurs most often in a data set. Count the frequencies: 5 appears twice, 7 appears four times, 9 appears once, and 3 appears twice. So 7 is the mode, and option C is correct.

• A) 1: 1 does not occur in the data at all, so it cannot be the mode.
• B) 3: 3 occurs twice, which is less than the four occurrences of 7.
• D) 9: 9 occurs only once.

The core concept is frequency-based central tendency. Mode is the only measure of central tendency that works for categorical data, such as the most common blood group or modal size of a product. In Mains, you can use it to describe typical outcomes in a survey, like the modal age group of voters.

Trap: Aspirants often compute the mean instead, which here is 53/9, roughly 5.89, and that value does not even appear in the data. Mode means the most frequent value, not the average.