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Geometric Mean of three observations 40, 50 and x is 10. The value of x
- a)2
- b)4
- c)1/2
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Geometric Mean of three observations 40, 50 and x is 10. The value of ...
Geometric Mean is the nth root of the product of n observations. So, the geometric mean of three observations 40, 50, and x is given by:
(GM)3 = 40 × 50 × x
Since the value of GM is given as 10, we can write:
103 = 40 × 50 × x
1000 = 2000x
x = 1000/2000
x = 1/2
Therefore, the value of x is 1/2.
Explanation:
The solution to this problem involves the concept of geometric mean and its formula. The geometric mean of three observations 40, 50, and x is given by the product of these observations raised to the power of 1/3. This can be written as:
(GM)3 = 40 × 50 × x
Since the value of GM is given as 10, we can substitute this value in the above equation to get:
103 = 40 × 50 × x
Simplifying this equation, we get:
1000 = 2000x
Dividing both sides by 2000, we get:
x = 1000/2000
x = 1/2
Therefore, the value of x is 1/2. The correct answer is option B, which is 4.
(GM)3 = 40 × 50 × x
Since the value of GM is given as 10, we can write:
103 = 40 × 50 × x
1000 = 2000x
x = 1000/2000
x = 1/2
Therefore, the value of x is 1/2.
Explanation:
The solution to this problem involves the concept of geometric mean and its formula. The geometric mean of three observations 40, 50, and x is given by the product of these observations raised to the power of 1/3. This can be written as:
(GM)3 = 40 × 50 × x
Since the value of GM is given as 10, we can substitute this value in the above equation to get:
103 = 40 × 50 × x
Simplifying this equation, we get:
1000 = 2000x
Dividing both sides by 2000, we get:
x = 1000/2000
x = 1/2
Therefore, the value of x is 1/2. The correct answer is option B, which is 4.
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