CMA Foundation · Fundamentals of Business Mathematics and Statistics · Measures of Central Tendency and Dispersion
For two positive numbers, the arithmetic mean is 10 and the geometric mean is 8. What is their harmonic mean?
The harmonic mean is 6.4. For two positive numbers the geometric mean squared equals the product of the arithmetic and harmonic means, so HM = 8² / 10 = 64/10 = 6.4.
- A6.4Correct
- B6.0
- C9.0
- D7.2
Explanation
For two numbers, GM² = AM × HM. So HM = 64/10 = 6.4. The value 6.0 would arise from wrongly using HM = GM − 2.
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