The general relationship among arithmetic mean (AM), geometric mean (GM) and harmonic mean is given by AM GM HM. But there can be a relationship of AM = GM = HM if
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1 mark, −0.33StatisticsDescriptive statistics and dispersionGeometric and harmonic meansModerateabout 1 min
UoH 2017 Question 23: Descriptive statistics and dispersion
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The general relationship among arithmetic mean (AM), geometric mean (GM) and harmonic mean is given by AM ≥ GM ≥ HM. But there can be a relationship of AM = GM = HM if (A) The AM is decreasing in value, GM is remaining constant and HM is increasing in value (B) all the n observation values are equal (C) the variance of the variable tends to increase continuously (D) none of the above
Also written as: The general relationship among arithmetic mean (AM), geometric mean (GM) and harmonic mean is given by AM >= GM >= HM. But there can be a relationship of AM = GM = HM if
Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.
What this question tests
This question is on Geometric and harmonic means, part of Descriptive statistics and dispersion in Statistics.
Averages for rates, ratios and growth, and how they compare with the arithmetic mean.
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