Class 10 Exam > Class 10 Questions > The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, ...
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The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can be
- a)Only 5
- b)Both 4 and 6
- c)Both 3 and 6
- d)3, 4 or 6
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)B...
An observation which has more frequency in the data is called the mode of the data.
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The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)B...
Understanding Mode
The mode of a dataset is the value that appears most frequently. In the dataset provided (6, 4, 3, 6, 4, 3, 4, 6, 5, x), we will analyze how the addition of 'x' can affect the mode.
Current Frequencies
- The frequency of each number is as follows:
- 3 appears 2 times
- 4 appears 3 times
- 5 appears 1 time
- 6 appears 3 times
Thus, currently, both 4 and 6 are modes of the dataset, each occurring 3 times.
Impact of 'x'
The value of 'x' can influence the frequency of the existing numbers:
- If x = 3:
- Frequency: 3 (3 times)
- Mode: 3, 4, 6 (All three appear most frequently, 3 times)
- If x = 4:
- Frequency: 4 (4 times)
- Mode: 4 (4 becomes the sole mode)
- If x = 5:
- Frequency: 5 (1 time)
- Mode: 4, 6 (4 and 6 remain modes, both at 3 times)
- If x = 6:
- Frequency: 6 (4 times)
- Mode: 6 (6 becomes the sole mode)
- If x is any number other than 3, 4, 5, or 6:
- The mode remains as 4 and 6 since they have the highest frequency.
Conclusion
Based on the variations of 'x', the mode can be:
- 3, 4, or 6 depending on the value of 'x'.
Thus, the correct answer is option 'D'.
The mode of a dataset is the value that appears most frequently. In the dataset provided (6, 4, 3, 6, 4, 3, 4, 6, 5, x), we will analyze how the addition of 'x' can affect the mode.
Current Frequencies
- The frequency of each number is as follows:
- 3 appears 2 times
- 4 appears 3 times
- 5 appears 1 time
- 6 appears 3 times
Thus, currently, both 4 and 6 are modes of the dataset, each occurring 3 times.
Impact of 'x'
The value of 'x' can influence the frequency of the existing numbers:
- If x = 3:
- Frequency: 3 (3 times)
- Mode: 3, 4, 6 (All three appear most frequently, 3 times)
- If x = 4:
- Frequency: 4 (4 times)
- Mode: 4 (4 becomes the sole mode)
- If x = 5:
- Frequency: 5 (1 time)
- Mode: 4, 6 (4 and 6 remain modes, both at 3 times)
- If x = 6:
- Frequency: 6 (4 times)
- Mode: 6 (6 becomes the sole mode)
- If x is any number other than 3, 4, 5, or 6:
- The mode remains as 4 and 6 since they have the highest frequency.
Conclusion
Based on the variations of 'x', the mode can be:
- 3, 4, or 6 depending on the value of 'x'.
Thus, the correct answer is option 'D'.
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The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer?.
The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer?.
Solutions for The mode of the data 6, 4, 3, 6, 4, 3, 4, 6, 5 and x can bea)Only 5b)Both 4 and 6c)Both 3 and 6d)3, 4 or 6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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