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Suppose xi = 1/i for i = 1, 2, 3, … , 11. Which one of the following is not correct?
  • a)
    Which one of the following is not correct?1.AM > 1/6
  • b)
    GM > 1/6
  • c)
    HM > 1/6
  • d)
    Median = HM
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Suppose xi= 1/i for i = 1, 2, 3, … , 11. Which one of the follo...
Harmonic mean = Number of observations/ (Sum of inverses of the observation)
⇒ 11/ (1 + 2 + 3 + ⋯ + 11) = 11/66 = 1/6
Median is the middle most term = 6th term = 1/6
⇒ Median = HM
AM > GM > HM for different values of observations
⇒ AM > 1/6 and GM > 1/6
∴ Only wrong statement is HM > 1/6
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Most Upvoted Answer
Suppose xi= 1/i for i = 1, 2, 3, … , 11. Which one of the follo...
To find the values of xi, we substitute i = 1, 2, 3 into the equation xi = 1/i.

For i = 1, xi = 1/1 = 1.
For i = 2, xi = 1/2 = 0.5.
For i = 3, xi = 1/3 ≈ 0.3333.

Therefore, the values of xi are 1, 0.5, and 0.3333.
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Suppose xi= 1/i for i = 1, 2, 3, … , 11. Which one of the following is not correct?a)Which one of the following is not correct?1.AM > 1/6b)GM > 1/6c)HM > 1/6d)Median = HMCorrect answer is option 'C'. Can you explain this answer?
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