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Math Help - Harmonic mean explanation needed?

  1. #1
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    Harmonic mean explanation needed?

    Why do we need harmonic mean , how it can give better precision in specific situations. Please justify situations where harmonic mean is better than arithmetic mean.
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  2. #2
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    Re: Harmonic mean explanation needed?

    Arithmetic mean is sensitve to outliers. Therefore the harmonic mean can be a better estimate of central tendancy in a skewed distribution.
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  3. #3
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    Re: Harmonic mean explanation needed?

    Let's look at this problem?
    A Car going to and fro @ 4km/hr , 3 km/hr and 5km/hr.
    In this case, arithmetic mean gives 4 km/hr and harmonic mean gives 3.82..km/hr.
    Though defitintion sugeests harmonic mean should be used when distance is the same and different speeds.
    How do you justify 3.82 (harmonic mean)is a more exact average than 4(arithmetic mean.)
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  4. #4
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    Re: Harmonic mean explanation needed?

    That last post is simply spam with non-sense added as a first paragraph. This forum is becoming riddled with spam. Where are the moderators??
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