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The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p hav...
Mean and Median Calculation
- Given numbers: 1, 3, 4, 5, 7, 4
- Mean (m) = (1 + 3 + 4 + 5 + 7 + 4) / 6 = 24 / 6 = 4

Calculating p
- Given numbers with mean m - 1: 3, 2, 2, 4, 3, 3, p
- Sum of these numbers = 17 + p
- Mean = (17 + p) / 7 = m - 1 = 4 - 1 = 3
- 17 + p = 21
- p = 4

Finding Median q
- Since the numbers are already in ascending order: 2, 2, 3, 3, 3, 4, p
- Median q will be the middle number, which is the 4th number in this case, which is 3.

Calculating p + q
- p = 4, q = 3
- p + q = 4 + 3 = 7
Therefore, p + q = 7, which corresponds to option 'D'.
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Community Answer
The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p hav...
Mean of 1,3, 4, 5, 7 and 4 is m.
⇒ 1 + 3 + 4 + 5 + 7 + 4 / 6 = m
⇒ m = 4
Now, mean of 3, 2, 2, 4, 3, 3 and p is m - 1
3 + 2 + 2 + 4 + 3 + 3 + p / 7 = 3
⇒ 17 + p = 21 ⇒ p = 4
Arranging 3, 2, 2, 4, 3, 3, and 4 in ascending order, we get 2, 2, 3, 3, 3, 4, 4
∴ Median (q) =   term = 4th term = 3 
⇒ p + q= 4 + 3 = 7
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The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =a)4b)5c)6d)7Correct 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 mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =a)4b)5c)6d)7Correct 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 mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =a)4b)5c)6d)7Correct answer is option 'D'. Can you explain this answer?.
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