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Find geometric mean of 4,6,9 with weight 1,2,1 respectively?
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Find geometric mean of 4,6,9 with weight 1,2,1 respectively?
Geometric Mean with Weight
Formula: GM = (w1*x1*w2*x2*w3*x3...wn*xn)^(1/(w1+w2+w3+...+wn))
Step 1: Multiply the values with their respective weights
4^1 * 6^2 * 9^1 = 4 * 36 * 9 = 1296
Step 2: Calculate the sum of the weights
1 + 2 + 1 = 4
Step 3: Substitute the values in the formula
GM = (w1*x1*w2*x2*w3*x3...wn*xn)^(1/(w1+w2+w3+...+wn))
GM = (4 * 36 * 9)^(1/4)
GM = 6
Definition: Geometric mean is a type of average that represents the central value of a set of numbers. It is calculated by multiplying all the numbers together and then taking the nth root, where n is the number of values in the set.
Formula: GM = (w1*x1*w2*x2*w3*x3...wn*xn)^(1/(w1+w2+w3+...+wn))
Explanation: To find the geometric mean of 4, 6, and 9 with weights of 1, 2, and 1 respectively, we will use the above formula.
Step 1: Multiply the values with their respective weights
4^1 * 6^2 * 9^1 = 4 * 36 * 9 = 1296
Step 2: Calculate the sum of the weights
1 + 2 + 1 = 4
Step 3: Substitute the values in the formula
GM = (w1*x1*w2*x2*w3*x3...wn*xn)^(1/(w1+w2+w3+...+wn))
GM = (4 * 36 * 9)^(1/4)
GM = 6
Therefore, the geometric mean of 4, 6, and 9 with weights of 1, 2, and 1 respectively is 6.
Community Answer
Find geometric mean of 4,6,9 with weight 1,2,1 respectively?
GM = ( X1^f1 × X2^f2 × X3^f3 ) ^ 1/n
GM = ( 4^1 × 6^2 × 9^1) ^1/4
=( 2×2×3×2×3×2×3×3)^ 1/4
= ( 2^4 × 3^4) ^1/4
= ( 6^4)^1/4
= 6
Therefore the answer is 6.
GM = ( 4^1 × 6^2 × 9^1) ^1/4
=( 2×2×3×2×3×2×3×3)^ 1/4
= ( 2^4 × 3^4) ^1/4
= ( 6^4)^1/4
= 6
Therefore the answer is 6.
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Find geometric mean of 4,6,9 with weight 1,2,1 respectively?
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Find geometric mean of 4,6,9 with weight 1,2,1 respectively? 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 Find geometric mean of 4,6,9 with weight 1,2,1 respectively? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find geometric mean of 4,6,9 with weight 1,2,1 respectively?.
Find geometric mean of 4,6,9 with weight 1,2,1 respectively? 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 Find geometric mean of 4,6,9 with weight 1,2,1 respectively? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find geometric mean of 4,6,9 with weight 1,2,1 respectively?.
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