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By definition, the harmonic mean of a dataset (x1, x2, ..., xn) is the reciprocal of the arithmetic mean of the dataset's reciprocals.
That is, MeanHarmonic=n/[1/x1+1/x2+...+1/xn]
The harmonic mean applies more accurately to certain situations involving rates. For example, imagine a blood donor fills a 250mL blood bag at 70mL/min on the first visit, and 90mL/min the second visit. What is the average rate at which the donor fills a bag? Let's break it down:
250mL @ 70mL/min = 3.571 mins total
250mL @ 90mL/min = 2.778 mins total
So 500mL total in (3.571+2.778) mins total = 500/6.349 = 78.753 mL/min
So the harmonic mean of 2/[1/70+1/90] = 78.750 gives a more accurate description of average rate, in this example, than the arithmetic mean (80mL/min).
This, however, only applies to rate. If, for example, you wanted to calculate average time to donate it would just be the arithmetic mean (3.571+2.778)/2 = 3.175 mins.
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What is the advantages and disadvantages of harmonic mean?
The advantage of harmonic mean is that it is used to solve situations in which there are extreme data values to true picture. The disadvantage of it is that it can be time consuming to evaluate the data.
Is motion of swing an example of simple harmonic motion?
A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean. Provided the amplitude is small, a swing is an example of simple harmonic motion.
What are the application of simple harmonic motion?
Springs, sound and musical instruments, electronic oscillators, alternating electric currents, that sort of thing.
What are averages measures of central tendency?
The arithmetic mean, geometric mean and the harmonic mean are three example of averages.
What is the mean of 120 and 160?
The arithmetic mean is 140. The geometric mean is approx 138.56 and the harmonic mean is approx 137.14
What is the application of harmonic mean?
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What is a harmonic mean?
When applied to electrical waveforms, a 'harmonic' is a multiple of the fundamental frequency.
What is the application of geometric mean in medicine?
The geometric mean can be used in medicine, to determine renal function. Studying the left and right kidneys will allow a doctor to figure out how they are functioning, and the geometric mean will tell the percentage of error of the posterior view is not used.
What does it mean if the harmonic balancer is wobbling on a 2004 2.7L Dodge Intrepid?
Harmonic balancer is bad and will need to be replaced.
What is the advantages and disadvantages of harmonic mean?
The advantage of harmonic mean is that it is used to solve situations in which there are extreme data values to true picture. The disadvantage of it is that it can be time consuming to evaluate the data.
Find the harmonic mean between 1 and 4?
1.6
What does it mean to sound harmonic?
you sound like people are singing with you
What does histogram find out graphically arithmetic mean or median or mode or harmonic mean?
mode
What are the advantages of health and medicine in application of nuclear physics?
science
Is motion of swing an example of simple harmonic motion?
A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean. Provided the amplitude is small, a swing is an example of simple harmonic motion.
WHAT IS relation between arithmetic mean geometric mean and harmonic mean of two numbers?
If x and y are two positive numbers, with arithmetic mean A, geometric mean G and harmonic mean H, then A ≥ G ≥ H with equality only when x = y.
What are the application of simple harmonic motion?
Springs, sound and musical instruments, electronic oscillators, alternating electric currents, that sort of thing.
