Test Index

Measures of Central Tendency and Dispersion

Question : 108 of 211

Marks: +1, -0

The geometric mean of 3,6,24 and 48 is

Solution:

Concept:

The geometric mean of a set of

n

positive numbers is the

n

th root of their product.

Explanation:

Step 1: The numbers are

3

6

24

, and

48

Step 2: Compute the product:

3 \times 6 = 18

18 \times 24 = 432

432 \times 48 = 20736

Step 3: The geometric mean for

n=4

numbers is

\sqrt[4]{20736}

Step 4:

20736 = 12^4

, so

\sqrt[4]{20736} = 12

Answer:

12

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