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Geometric Mean of three observations 40, 50 and X is 10. The value of X is
- a)2
- b)4
- c)1/2
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Geometric Mean of three observations 40, 50 and X is 10. The value of ...
Geometric Mean:
Geometric mean is the nth root of the product of n observations. For example, the geometric mean of two observations a and b is √(a*b).
Given:
Three observations are 40, 50, and X and the geometric mean of these observations is 10.
Solution:
The geometric mean of three observations is given by:
Geometric mean = ∛(40*50*X)
Given, geometric mean = 10
10 = ∛(40*50*X)
Cubing both sides, we get:
1000 = 40*50*X
X = 1000/(40*50)
X = 1/2
Therefore, the value of X is 1/2. Hence, option C is the correct answer.
Geometric mean is the nth root of the product of n observations. For example, the geometric mean of two observations a and b is √(a*b).
Given:
Three observations are 40, 50, and X and the geometric mean of these observations is 10.
Solution:
The geometric mean of three observations is given by:
Geometric mean = ∛(40*50*X)
Given, geometric mean = 10
10 = ∛(40*50*X)
Cubing both sides, we get:
1000 = 40*50*X
X = 1000/(40*50)
X = 1/2
Therefore, the value of X is 1/2. Hence, option C is the correct answer.
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Community Answer
Geometric Mean of three observations 40, 50 and X is 10. The value of ...
G.M. = 3√(40)(50)(X) = 10
3√(2000X) = 10
2000X = (10)^3
2000X =1000
X =1000/2000
Therfore, X = 1/2
3√(2000X) = 10
2000X = (10)^3
2000X =1000
X =1000/2000
Therfore, X = 1/2
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Geometric Mean of three observations 40, 50 and X is 10. The value of X isa)2b)4c)1/2d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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Geometric Mean of three observations 40, 50 and X is 10. The value of X isa)2b)4c)1/2d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Geometric Mean of three observations 40, 50 and X is 10. The value of X isa)2b)4c)1/2d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Geometric Mean of three observations 40, 50 and X is 10. The value of X isa)2b)4c)1/2d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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