Question

Geometric mean is better than other means when,

a) the data are positive as well as negative b) the data are in ratios or percentages

c) the data are binary d) the data are on interval scale​

Answer 1

B) The data are in ratios or percentages

Is the answer.

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Answer 2

Answer :

The correct answer will be -

(b) the data are in ratios or percentage

Step by Step Explanation :

Geometric Progression -

Geometric Progression is a sequence of numbers that is formed by multiplying a particular number by the previous number.

For example,

2, 4 , 8, 16 ,32...

This sequence is formed by multiplying 2 by each previous term.

Now if we take ratios of any consecutive terms it will be 2.

$\frac{a_n}{a_{n-1}} = \frac{a_{n+1}}{a_n} = k$

Geometric Mean -

The geometric mean is the average value which signifies the central tendency of numbers by finding the product of their values.

$GM = (\prod_{i=1}^{n} x_i)^\frac{1}{n}$

So, if the numbers are in ratios or percentages (this is also a ratio in other words the number is divided by a finite number which is 100) it is better to take the geometric mean.

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