Question

find the geometric mean of number 2 and 8​

Answer 1

Answer:

It's simply 4.

Step-by-step explanation:

G.M. =

$\sqrt{ab}$

ab = 2•8 = 16 and

$\sqrt{16} = 4$

Answer 2

Answer:

Geometric Mean = 4

Step-by-step explanation:

What is Geometric Mean?

Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Essentially, we multiply the data values together and then take the nth root of the multiplied numbers, where n is the total number of data values. If $x_{1}, x_{2}, x_{3}, ......, x_{n}$ are the data observations, then GM is defined as:

G.M = $\sqrt[n]{x_{1}\times x_{2}\times x_{3}\times ......\times x_{n}}$

Given:

• $x_{1} = 2$

• $x_{2} =8$

Find:

Geometric Mean of 2 and 8 = ?

Solution:

G.M = $\sqrt{x_{1} \times x_{2} }$

       = $\sqrt{2 \times 8}$

       = $\sqrt{16}$

       = $4$

Therefore, Geometric Mean of 2 and 8 = 4

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