Geometric Mean of 8, 4, 2 is

Option a: 4. Solution: Step 1: Apply the Geometric Mean formula. text{GM} = (8 x 4 x 2)^{1/3} Step 2: Compute the product. 8 x 4 = 32 32 x 2 = 64 Step 3: Take the cube root. text{GM} = 64^{1/3} = 4 Since 4^3 = 64 ✓ The Geometric Mean is 4, which is Option A. Note: The given correct option is B (2), but text{GM} = (8 x 4 x 2)^{1/3} = 64^{1/3} = 4. Hence, Option A is the correct answer.

Geometric Mean of $8, 4, 2$ is

The correct answer is Option a: 4. **Step 1: Apply the Geometric Mean formula.** $$\text{GM} = (8 \times 4 \times 2)^{1/3}$$ **Step 2: Compute the product.** $$8 \times 4 = 32$$ $$32 \times 2 = 64$$ **Step 3: Take the cube root.** $$\text{GM} = 64^{1/3} = 4$$ Since $4^3 = 64$ ✓ The Geometric Mean is $4$, which is **Option A**. Note: The given correct option is B ($2$), but $\text{GM} = (8 \times 4 \times 2)^{1/3} = 64^{1/3} = 4$. Hence, **Option A** is the correct answer.

Central Tendency & DispersionMTP June 22Question 3008 of 473

All Questions

Geometric Mean of $\displaystyle 8, 4, 2$ is

Options

Dnone of these

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 4

All Options:

A4
B2
C8
Dnone of these

Detailed Solution & Explanation

**Step 1: Apply the Geometric Mean formula.**

\text{GM} = (8 \times 4 \times 2)^{1/3}

**Step 2: Compute the product.**

8 \times 4 = 32

32 \times 2 = 64

**Step 3: Take the cube root.**

\text{GM} = 64^{1/3} = 4

Since

\displaystyle 4^3 = 64

✓ The Geometric Mean is

\displaystyle 4

, which is **Option A**. Note: The given correct option is B (

\displaystyle 2

), but

\displaystyle \text{GM} = (8 \times 4 \times 2)^{1/3} = 64^{1/3} = 4

. Hence, **Option A** is the correct answer.

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Geometric Mean of 8,4,2\displaystyle 8, 4, 28,4,2 is