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How do you find the harmonic and geometric mean for grouped data?
The geometric-harmonic mean of grouped data can be formed as a sequence defined as g(n+1) = square root(g(n)*h(n)) and h(n+1) = (2/((1/g(n)) + (1/h(n)))). Essentially, this means both sequences will converge to the mean, which is the geometric harmonic mean.
Properties and limitations of geometric mean?
In a given sequence, there are two possible means calculatable: Arithmetic Mean, and Geometric Mean. The arithmetic mean, as we all know, is calculated from the sum of all the numbers divided by how many numbers there are: Sumn/n. The Geometric sum is calculated by multiplying all the numbers within the sequence together and taking the nth root of this value: (Productn)(1/n).In a geometric series, N(i)= a(ri), the geometric mean is found to be a(rn-1), where n is the number of elements within the series. this decreases or increases exponentially depending on the r value. If r1, increasing.Limitation Of Geometric Mean are:-1) Geometric mean cannot be computed when there are both negative and positive values in a series or more observations are having zero value.2)Compared to Arithmetic Mean this average is more difficult to compute and interpret.-Iwin
What is the geometric mean of 16 and 3?
The geometric mean of 16 and 3 is 6.92820323028
What is the geometric mean of 18 and 2?
The Geometric mean of 18 and 2 is 6.
Does geometric mean the average of the lengths?
No, but you can study here. Look at link: "Calculation of the geometric mean of two numbers".
