Question

Mode of data 2, 3, 3, 5, 7 is ____.

• A. 2
• B. 3
• C. 5
• D. 7

Hint:

To remember this, think of Mode as the Most frequent value. Just look for the number that "shows up the most."

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The mode is the value that appears most frequently in a given data set. A data set can have one mode (unimodal), more than one mode (multimodal), or no mode at all if all values appear with the same frequency.

Step 2: Detailed Explanation:
Let's look at the frequency of each number in the set $\{2, 3, 3, 5, 7\}$:
• 2 appears 1 time.
• 3 appears 2 times.
• 5 appears 1 time.
• 7 appears 1 time. Since the number 3 appears more often than any other number in the set, it is the mode.

Step 3: Final Answer:
The mode of the data is 3.

Answer 2

The question asks for the mode of the data set 2, 3, 3, 5, 7. The mode is the value that occurs most often. Let's test each option against the frequency of occurrence in the set.

1. 2: The number 2 appears only once in the set, so it cannot be the most frequent value.
2. 3: The number 3 appears twice in the set, more than any other number. Since no other value repeats, 3 is the only value occurring with the highest frequency.
3. 5: The number 5 appears only once, so it does not qualify as the mode.
4. 7: The number 7 also appears only once, so it cannot be the most frequent value either.

Since 3 is the only number that repeats in the data set, it is the value with the highest frequency of occurrence.

Therefore, the correct answer is 3.