What is the geometric mean of 6 and 10?

The geometric mean of 6 and 10 is ≈7.746 .

What is the relation between geometric mean and harmonic mean?

If x, a, y is a geometric progression then ‘a’ is called geometric mean. If x, a, y form a harmonic progression then ‘a’ is called harmonic mean. Let AM = arithmetic mean, GM = geometric mean, and HM = harmonic mean. The relationship between the three is given by the formula. AM×HM=GM2.

What’s the geometric mean of 2 and 72?

Take the square root of the product if you are only dealing with two numbers. This is the geometric mean when there are only two numbers. The geometric mean of 2 and 72 is the square root of their product, or 12. This is the geometric mean for the general case.

What is the harmonic mean between two positive numbers A and B?

H = 2ab/(a+b) The harmonic mean of two numbers is in fact the reciprocal of arithmetic mean of the reciprocal of the numbers. This simply means that if H is the harmonic mean between two numbers say a and b then 1/a, 1/H and 1/b are in A.P. 3/ (1/1 + 1/2 + 1/4) = 12/7.

What is formula for harmonic mean?

The harmonic mean is a type of numerical average. It is calculated by dividing the number of observations by the reciprocal of each number in the series. Thus, the harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. The harmonic mean of 1, 4, and 4 is: 3 ( 1 1 + 1 4 + 1 4 ) = 3 1 .

What is harmonic mean of n numbers?

To find the harmonic mean of a set of n numbers, add the reciprocals of the numbers in the set, divide the sum by n, then take the reciprocal of the result.

How to calculate the harmonic mean of two numbers?

How to calculate the harmonic mean of two numbers. In specific cases where the set consists of two numbers only, you can calculate the harmonic mean using this formula: It is in relation to the arithmetic mean (A = (X 1 + X 2)/2) and the geometric mean (G = √X 1 x X 2), as follows:

What is the difference between harmonic mean and geometric mean?

Geometric Mean: Geometric Mean ‘GM’ between two numbers a and b is such a number that GM/a = b/GM. Harmonic Mean: Harmonic Mean ‘HM’ between two numbers a and b is such a number that 1/HM – 1/a = 1/b – 1/HM.

How do you find the arithmetic mean of two numbers?

Thus, if we are given these two numbers, the arithmetic mean AM = 1/2 (a+b) Geometric Mean: Geometric Mean ‘GM’ between two numbers a and b is such a number that GM/a = b/GM.

What is the difference between arithmetic mean and geometric mean?

If x, a, y is an arithmetic progression then ‘ a ‘ is called arithmetic mean. If x, a, y is a geometric progression then ‘ a ‘ is called geometric mean. If x, a, y form a harmonic progression then ‘ a ‘ is called harmonic mean.