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The mean of 20 observations is 15. On checking, it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean is
  • a)
    15
  • b)
    15.15
  • c)
    15.35
  • d)
    16
Correct answer is option 'B'. Can you explain this answer?
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Solution:

Given:
- Mean of 20 observations = 15
- Wrongly copied observations: 3, 6
- Correct values: 8, 4

Calculating the correct sum:
- Sum of 20 observations = Mean * Number of observations
- Sum = 15 * 20 = 300
- Correct sum = 300 - 3 (wrong value) + 8 (correct value) - 6 (wrong value) + 4 (correct value) = 303

Calculating the correct mean:
- Correct mean = Correct sum / Number of observations
- Correct mean = 303 / 20 = 15.15

Conclusion:
- The correct mean of the 20 observations, after replacing the wrong values with the correct ones, is 15.15. Hence, the correct answer is option 'B'.
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The mean of 20 observations is 15. On checking, it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean isa)15b)15.15c)15.35d)16Correct answer is option 'B'. Can you explain this answer?
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The mean of 20 observations is 15. On checking, it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean isa)15b)15.15c)15.35d)16Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The mean of 20 observations is 15. On checking, it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean isa)15b)15.15c)15.35d)16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 20 observations is 15. On checking, it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct mean isa)15b)15.15c)15.35d)16Correct answer is option 'B'. Can you explain this answer?.
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