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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.
What is the formula for harmonic mean?
n/(1/a1+1/a2+....+1/an)
What is harmonic mean and how is it used?
in finance, unlike the arithmetic mean, the harmonic mean gives an equal weight to each data point that it reduces the weight of higher returns in calculating the average return. it's calculated as n/ (1/a + 1/b + 1/c ...)
How do you tell the difference between a 350 and 327?
Look at your harmonic balancer the 1 on the 350 is bigger than the 1 on the 327.
Is zero a value in a set of numbers when trying to find the mean?
Yes. for example, the mean between 0 and 1 is 0,5
How do you generate harmonic progression?
If a sequence A = {a1, a2, a3, ... } is an arithmetic progression then the sequence H = {1/a1, 1/a2, 1/a3, ... } is a harmonic progression.
What is the frequency of the second harmonic if the fundamental frequency is 1000 Hertz?
If the first harmonic of 1 kHz is 2 kHz, then the second harmonic is the odd order harmonic of 3 kHz.
Whats the mathematical basis of the harmonic series?
If a, b, c, d.......are in Arithmetic Progression (A.P.), then 1/a. 1/b, 1/c, 1/d.....are in Harmonic Progression (H.P.)
What does the 'mean' mean in math?
"Mean" is another word for "average," and is calculated by dividing the sum of the numbers in the set by the number of terms in the set.* * * * *True, as far as it goes. But it goes only as far as arithmetic mean. There are also the geometric and harmonic means.The geometric mean of a set of n positive numbers is the nth root of their product.The harmonic mean of two numbers x and y is 2/(1/x + 1/y)Both definitions can be extended to three or more components.Although the harmonic mean may appear to be a mathematical curiosity and a rather pointless measure, consider this example:You travel a distance of 100 km at a speed of x km per hour. You drive back at y km per hour. What is your average speed for the round trip? It is NOT the "average" of x and y = (x+y)/2 but the harmonic mean of x and y.
An organ pipe open at both ends is observed to have a harmonic at 440 Hz and the next higher harmonic at 528 Hz What is the fundamental for the pipe?
Clue: 528/440 = 1.2 = 6/5. The wavelengths of the partials (harmonics) of an open pipe are in the proportions 1/1 fundamental 1/2 1st harmonic 1/3 2nd harmonic 1/4 3rd harmonic etc. I'm betting your pipe sounds an F, one of the lowest notes that most male voices can reach. Can you prove it mathematically?
In integer between 1 and 25 inclusive is drawn at random. find the probability that the integer is 7?
If you really mean "between" then there is one chance in 23. If you mean "Up to and including 25" then the chance is 4% or 24 - 1.
What is harmonic progressions in maths give examples?
Harmonic progressions is formed by taking the reciprocals of an arithmetic progression. So if you start with some number a, and add a common difference d each time, the arithmetic progression would be a, a+d, a+2d, a+3d etc. The harmonic progression comes from taking the reciprocals of these terms. So we have a, a/(1+d), a/(1+2d), a/( 1+3d)... Here is a harmonic progression: 1/6, 1/4, 1/3, ....
