What will be the mode of numbers
5, 7, 9, 12, 10, 15, 7, 8, 7, 25?

Question

What will be the mode of numbers 
5, 7, 9, 12, 10, 15, 7, 8, 7, 25?

Accepted Answer

The mode of a set of numbers is the number that appears most frequently in the set. In the given set of numbers: 5, 7, 9, 12, 10, 15, 7, 8, 7, 25, we need to determine which number occurs most often.

1. **Explanation for Option 2 (7):**
   - The number 7 appears three times in the list: 5, 7, 9, 12, 10, 15, 7, 8, 7, 25.
   - No other number in the list appears more than three times.
   - Therefore, 7 is the most frequently occurring number, making it the mode of the set.
   - This justifies why Option 2 is the correct answer.

2. **Explanation for why other options are incorrect:**
   - **Option 1 (5):** The number 5 appears only once in the list. Since the mode is the number that appears most frequently, and 5 does not meet this criterion, Option 1 is incorrect.
   - **Option 3 (9):** The number 9 also appears only once in the list. Like 5, it does not occur frequently enough to be considered the mode, making Option 3 incorrect.
   - **Option 4 (12):** The number 12 appears only once in the list. It does not appear more frequently than 7, so it cannot be the mode, rendering Option 4 incorrect.

In conclusion, the number 7 is the only number that appears more than any other number in the list, specifically three times, which is why Option 2 is the correct answer.