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What is the geometric mean of the data 2, 4, 8,16, 32? 1. 322. 643. 84. 16 |
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Answer» Correct Answer - Option 3 : 8 Concept: The geometric mean of the numbers a1, a2,...,an is given by ⇔ G = \(\rm (a_1\times a_2\cdots \times a_n)^{\frac 1 n}\) GIven data: 2, 4, 8,16, 32? Geometric mean = \((2 \times 4 \times8 \times 16 \times 32)^{\frac 1 5}\) \(=(2^1 \times 2^2\times 2^3\times 2^4\times 2^5)^{\frac1 5}\) \(=(2^{15})^{\frac1 5}\) = 23 = 8 Hence, option (3) is correct. |
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