The mode of 3, 2, 5, 6, 4, 3, 4, 5, 4 is

Question

Accepted Answer

The correct option is 2:

To solve this problem, we need to understand the definition of the mode in a data set.

Key Concept: The mode of a data set is the value that appears most frequently in the set. A data set can have one mode (unimodal), multiple modes (multimodal), or no mode if all values appear with the same frequency.

Step-by-step explanation:1.  **List the given data set:** The data set is $3, 2, 5, 6, 4, 3, 4, 5, 4$.
2.  **Count the frequency of each number:**
      * The number $2$ appears once.
      * The number $3$ appears twice.
      * The number $4$ appears three times.
      * The number $5$ appears twice.
      * The number $6$ appears once.
3.  **Identify the number with the highest frequency:**
      * The number $4$ appears $3$ times, which is more than any other number in the set.Therefore, the mode of the given data set is $4$.

The incorrect option is 1:
Option 1 suggests the mode is $3$. This is incorrect because $3$ appears twice, while $4$ appears three times. The mode must be the number that appears most frequently.

The incorrect option is 3:
Option 3 suggests the mode is $2$. This is incorrect because $2$ appears only once, which is not the most frequent occurrence.

The incorrect option is 4:
Option 4 suggests the mode is $5$. This is incorrect because $5$ appears twice, while $4$ appears three times. The mode must be the number that appears most frequently.