Geometric Mean of 3, 7, 11, 15, 24, 28, 30, 0 is

Option b: 0. Solution: Step 1: Recall the formula for Geometric Mean. text{GM} = (x1 x x2 x x3 x s x xn)^{1/n} Step 2: Identify any zero values. The data set includes 0 as one of the observations: {3, 7, 11, 15, 24, 28, 30, 0}. Step 3: Compute the product. 3 x 7 x 11 x 15 x 24 x 28 x 30 x 0 = 0 (Any product containing 0 equals 0.) Step 4: Compute GM. text{GM} = (0)^{1/8} = 0 Since the data set contains a zero, the Geometric Mean is mathbf{0}. Hence, Option B is the correct answer.

Central Tendency & DispersionPYQ June 24Question 3005 of 473

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Geometric Mean of $\displaystyle 3, 7, 11, 15, 24, 28, 30, 0$ is

Options

D12

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Correct Answer

✅ Option b — 0

All Options:

Detailed Solution & Explanation

**Step 1: Recall the formula for Geometric Mean.**

\text{GM} = (x_1 \times x_2 \times x_3 \times \cdots \times x_n)^{1/n}

**Step 2: Identify any zero values.** The data set includes

\displaystyle 0

as one of the observations:

\displaystyle \{3, 7, 11, 15, 24, 28, 30, 0\}

. **Step 3: Compute the product.**

3 \times 7 \times 11 \times 15 \times 24 \times 28 \times 30 \times 0 = 0

(Any product containing

\displaystyle 0

equals

\displaystyle 0

.) **Step 4: Compute GM.**

\text{GM} = (0)^{1/8} = 0

Since the data set contains a zero, the Geometric Mean is

\displaystyle \mathbf{0}

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

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Geometric Mean of 3,7,11,15,24,28,30,0\displaystyle 3, 7, 11, 15, 24, 28, 30, 03,7,11,15,24,28,30,0 is