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Q: Can the arithmetic mean be converted into the geometric mean without having the original data?

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"Arithmetic mean" means the same as average. "Mean", without qualifiers, usually refers to the arithmetic mean. However, there are other types of "means", for example, the geometric mean.

It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.

There are several methods. Euler could find the value of a logarithm by doing a search using the geometric mean, arithmetic mean and a table. There is a series using that natural log that can be converted into base 10. I have my own method which is in the "related links" section.

Sure. There are other applications of arithmetic, but algebra without arithmetic is impossible. A broad knowledge of arithmetic is essential for mastery of algebra.

Of course. Formulas are not encountered until the student progresses from arithmetic to algebra.

uh... yes without a working memory you would not know (remember) how to do arithmetic

sketch

Of course! People were doing real arithmetic long before the first computer!

Edith M. Joy has written: 'Arithmetic without a pencil' -- subject(s): Mental arithmetic

axioms or postulates

A pyramid is just a geometric shape, without restriction on the material of which it is made.

An axiom.

yes

Photosynthesis can occur without sunlight but only for a certain period as the sunlight originally supplies the energy that is needed to be converted. Without the original source for an elongated period photosynthesis would eventually stop.

May be it is impossible without using arithmetic operators Following code must work in C a = a^b; b = a^b; a = a^b; Or else try using registers.

Drawing is creating a figure without tools (i.e. a ruler, a compass, etc.) Constructing is creating a figure with tools.

The pet will be converted.

The purpose of the abacus is to provide a way of doing arithmetic without using written numerals.

hit em with a belt or big clock without the "l"

'Arithmetic' is a 'mass noun', ie, it is the collective word for something which cannot be presented as a discrete, definitive article. By that, I mean you can't say "An arithmetic" as in, trying to present it as a single entity, without any further qualifiers (such as 'an arithmetic problem'). Therefore there is no plural or singular form. 'Arithmetics' is another mass noun with the same meaning.

It is a process where solid directly converted in gases & gases directly converted in solid without going in liquid it is known as sublimation.

Mickey mouse

Mickey Mouse

The answer depends on the arithmetic operator between 5 and 6.25 and without it, there is no way to answer the question.

Mary was born without Original Sin .