Question

calculate geometric mean from the data given below 10,20,25,40,50​

Answer 1

Answer:

Mean=29

Explanation:

(10+20+25+40+50)/ 5

= 29

Answer 2

Calculating geometric mean for the given data.

Explanation:

• Measure of central tendency most commonly used is mean.
• The different types of mean include arithmetic mean (AM), weighted mean, harmonic mean (HM) and  geometric mean (GM).

• Geometric mean is the nth root of the product of the n observations (or values).

Given data: 10, 20, 25, 40, 50

i.e. n=5

Geometric mean =  ${(x_1\times x_2\times x_3....\times x_n)}^{1/n}$

, where n is the number of observations and $x_{n}$ is the $n^{th}$ observation.

Therefore, Geometric mean for given data $=\sqrt[5]{10\times20\times25\times40\times50}$

$=\sqrt[5]{10000000}$ $=215.44$