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Harmonic mean is the sum of all reciprocals (which is one divided by a number), and the geometric mean is the product of numbers raised to one divided by number of items in a list.
Harmonic mean = $\dfrac{n}{x_{1} + x_{2} + x_{3} + ... + x_{n}}$
For example, the harmonic mean of 2, 3, and 5 is 3/(1/2+1/3+1/5) = 3/(15/30+10/30+6/30) = 3/(31/30) = 3*30/31 = 90/31 = 2 28/30 = 2 14/15
Geometric mean = $\sqrt[n]{{x_{1} \times x_{2} \times x_{3} \times ... \times x_{n}}}$
For example, the geometric mean of 2, 3, and 5 is (235)^(1/3)=30^(1/3)=3.1072
Harmonic mean is the sum of all reciprocals (which is one divided by a number), and the geometric mean is the product of numbers raised to one divided by number of items in a list.$\dfrac{n}{x_{1} + x_{2} + x_{3} + ... + x_{n}}$ $\sqrt[n]{{x_{1} \times x_{2} \times x_{3} \times ... \times x_{n}}}$
Harmonic mean =
For example, the harmonic mean of 2, 3, and 5 is 3/(1/2+1/3+1/5) = 3/(15/30+10/30+6/30) = 3/(31/30) = 3*30/31 = 90/31 = 2 28/30 = 2 14/15
Geometric mean =
For example, the geometric mean of 2, 3, and 5 is (235)^(1/3)=30^(1/3)=3.1072
Sources:
https://byjus.com/maths/harmonic-mean/
https://www.scribbr.com/statistics/geometric-mean/
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