What is the difference between arithmetic mean and geometric mean?

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Solution

The difference between arithmetic mean and geometric mean:
Arithmetic Mean Geometric Mean
Arithmetic mean is the sum of a collection of numbers divided by the number of numbers in the collection. The geometric mean is the average value which signifies the central tendency of the set of numbers by finding the product of their values.
The arithmetic mean of $a_{1}, a_{2}, a_{3}, . . . ., a_{n}$ is:
$A . M . = \frac{a_{1} + a_{2} + a_{3} + . . . . + a_{n}}{n}$
The geometric mean of $a_{1}, a_{2}, a_{3}, . . . ., a_{n}$ is:
$G . M . = \sqrt[n]{a_{1} \cdot a_{2} \cdot a_{3} \cdot . . . . \cdot a_{n}}$

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The difference btw two no.s is 48, the difference btw the arithmetic mean and geometric mean of the no.s is 18. Find the no.

48

18

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