SOLUTION: 1.explain how to determine the geometric mean between 16 and 36.

Question 1185941: 1.explain how to determine the geometric mean between 16 and 36.
Found 3 solutions by josgarithmetic, Theo, ikleyn:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
you multiply the numbers together and then take the nth root to get the geometric mean.

n is the number of terms.

16 * 36 = 576

there are 2 terms.

576 ^ (1/2) = 24.

the geometric mean is 24.

here's a reference on geometric mean.

https://www.statisticshowto.com/geometric-mean-2/

the examples in there are very informative.

here's another reference that shows where the geometric mean is applicable.

https://www.math.toronto.edu/mathnet/questionCorner/geomean.html

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

For two given positive numbers x and y their geometric mean is the square root of their product:   GM(x,y) = .

For the numbers 16 and 36, their geometric mean is the number    = = = = 24.             ANSWER

On geometric mean, see the lesson
    - WHAT IS Geometric mean
in this site.

Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.

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