Geometric Mean of 8, 4, 2 is

Option a: 4. Solution: Step 1: Apply the Geometric Mean formula. GM = (8 × 4 × 2)1/3 Step 2: Compute the product. 8 × 4 = 32 32 × 2 = 64 Step 3: Take the cube root. GM = 641/3 = 4 Since 43 = 64 ✓ The Geometric Mean is 4 , which is Option A. Note: The given correct option is B ( 2 ), but GM = (8 × 4 × 2)1/3 = 641/3 = 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.

Measures of Central Tendency and DispersionMCQMTP 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.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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