Question

Find the geometric mean of the pair of numbers.
4 and 7
3 and 10

Answer 1

X=4, Y=7
gm=√xy
gm=√4*7
gm=√2*2*7
GM=2√7


X=3, Y=10
GM=√xy
GM=√3*10
GM=√30

Answer 2

4 and 7 have a geometric mean of 5.29, roughly.

3 and 10 have a geometric mean of approximately 5.48.

The square root of the product of two numbers is the geometric mean of those two numbers. the formula to calculate the geometric mean is as follows:

GM=√xy

The product of the numbers 4 and 7 is 4*7, which equals 28, and 28's square root is roughly 5.29. The geometric mean of 4 and 7 is therefore roughly 5.29.

The product of the numbers 3 and 10 is 3*10, which equals 30, and the square root of 30 is roughly 5.48. The geometric mean of 3 and 10 is therefore roughly 5.48.

When dealing with positive numbers that are multiplicatively related, the geometric mean is a particularly helpful indicator of central tendency. Compound interest rates are frequently calculated using this method in finance, as growth rates and ratios of quantities.

For more such questions on geometric mean: https://brainly.in/question/49243841

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